Edit Profile Futorny, Vyacheslav M. Compute Distance To: Compute Author ID: futorny.vyacheslav-m Published as: Futorny, V.; Futorny, V. M.; Futorny, Vyacheslav; Futorny, Vyacheslav M.; Futornyj, V. M.; Futornyĭ, V. M. External Links: MGP · Wikidata · GND Documents Indexed: 154 Publications since 1986, including 3 Books all top 5 Co-Authors 7 single-authored 21 Sergeichuk, Vladimir Vasil’evich 16 Ovsienko, Sergei A. 14 Cox, Ben Lewis 14 Ramirez, Luis Enrique 11 Grantcharov, Dimitar 9 Mazorchuk, Volodymyr 8 Drozd, Yuriĭ Anatoliĭovych 6 Bekkert, Viktor 6 Billig, Yuly 6 Hartwig, Jonas T. 6 Kashuba, Iryna 5 Misra, Kailash C. 5 Molev, Alexander I. 5 Schwarz, João Fernando 4 Dmytryshyn, Andrii R. 4 Horn, Roger Alan 4 König, Steffen 4 Křižka, Libor 3 Dokuchaev, Mikhailo 3 Eswara Rao, Senapathi 3 Klymchuk, Tetiana 3 Martins, Renato Alessandro 3 Melville, Duncan James 3 Zhang, Jian 2 Andriĭchuk, Vasyl’ Ivanovych 2 Benkart, Georgia M. 2 Bondarenko, Vitalij M. 2 Dimitrov, Ivan P. 2 Grigorchuk, Rostislav Ivanovich 2 Gubareni, Nadiya M. 2 Klimchuk, Tatiana 2 Klimenko, Lena 2 Petravchuk, Anatolii P. 2 Rybalkina, Tetiana 2 Saorín, Manuel 2 Wilson, Evan A. 2 Zadunaisky, Pablo 2 Zel’manov, Efim Isaakovich 2 Zhang, Jian 1 Arakawa, Tomoyuki 1 Artamonov, Vyacheslav Aleksandrovich 1 Babych, V”yacheslav Mykhaĭlovych 1 Bavula, Volodymyr V. 1 Bezushchak, Oksana O. 1 Bock, Wolfgang 1 Bressler, Paul 1 Bueno, André 1 Caalim, Jonathan V. 1 Coleman, Albert John 1 da Fonseca, Carlos Martins 1 Davydov, Alekseĭ Aleksandrovich 1 Duarte de Oliveira, Debora 1 Eshmatov, Farkhod 1 Farenick, Douglas R. 1 Ganiushkin, O. G. 1 Gerasimova, Tatiana G. 1 Gorodnii, M. F. 1 Grishkov, Alexander Nikolaevich 1 Grochow, Joshua A. 1 Gudivok, P. M. 1 Iusenko, Kostiantyn 1 Iyer, Uma N. 1 Jardim, Marcos 1 Kac, Victor G. 1 Kågström, Bo 1 Kashu, Alekseĭ Ivanovich 1 Khibina, Marina A. 1 Kirichenko, Vladimir V. 1 Kochloukova, Dessislava Hristova 1 Kolyada, Sergiǐ Fedorovych 1 Komarnytskyy, Mykola Ya. 1 Kovalenko, Dmitry 1 Kurdachenko, Leonid Andreevich 1 Liu, Genqiang 1 Lü, Rencai 1 Lyman, Fedir M. 1 Lyubashenko, Volodymyr V. 1 Marko, František 1 Moura, Adriano A. 1 Nakano, Daniel K. 1 Neklyudov, Mikhail 1 Nekrashevych, Volodymyr V. 1 Nilsson, Jonathan 1 Novikov, Boris V. 1 Oliynyk, A. S. 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Penkov, Ivan B. 1 Perestyuk, Mykola Oleksiĭovych 1 Petrichkovich, Vasil’ Mikhaĭlovich 1 Plakhotnyk, V. V. 1 Pollack, Richard David 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Semko, M. M. 1 Sharko, Volodymyr Vasil’ovych 1 Sharma, Sachin S. 1 Shemetkov, Leonid Alexandrovich 1 Shestakov, Ivan Pavlovich 1 Shvai, Nadya 1 Sidki, Said Najati 1 Somberg, Petr ...and 12 more Co-Authors all top 5 Serials 20 Journal of Algebra 17 Linear Algebra and its Applications 10 Communications in Algebra 9 Journal of Pure and Applied Algebra 5 Proceedings of the American Mathematical Society 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 Algebra and Discrete Mathematics 3 Communications in Mathematical Physics 3 Letters in Mathematical Physics 3 Transactions of the American Mathematical Society 3 Algebras and Representation Theory 2 The Quarterly Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 São Paulo Journal of Mathematical Sciences 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Journal of Differential Equations 1 Journal of Mathematics of Kyoto University 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Acta Applicandae Mathematicae 1 Bulgarian Journal of Physics 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Physics A: Mathematical and General 1 Journal of Mathematical Sciences (New York) 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 ELA. The Electronic Journal of Linear Algebra 1 Representation Theory 1 Positivity 1 Contemporary Mathematics all top 5 Fields 101 Nonassociative rings and algebras (17-XX) 36 Associative rings and algebras (16-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 11 Quantum theory (81-XX) 10 Topological groups, Lie groups (22-XX) 7 Category theory; homological algebra (18-XX) 7 Group theory and generalizations (20-XX) 6 Combinatorics (05-XX) 5 Operator theory (47-XX) 3 Algebraic geometry (14-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 112 Publications have been cited 747 times in 344 Documents Cited by ▼ Year ▼ Harish-Chandra subalgebras and Gelfand-Zetlin modules. Zbl 0812.17007Drozd, Yu. A.; Futorny, V. M.; Ovsienko, S. A. 39 1994 Imaginary Verma modules for affine Lie algebras. Zbl 0829.17017Futorny, V. M. 25 1994 Categories of induced modules and standardly stratified algebras. Zbl 1031.17008Futorny, V.; König, S.; Mazorchuk, V. 24 2002 Classification of irreducible representations of Lie algebra of vector fields on a torus. Zbl 1379.17011Billig, Yuly; Futorny, Vyacheslav 22 2016 The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras. Zbl 1268.17012Futorny, Vyacheslav; Molev, Alexander; Ovsienko, Serge 20 2010 Representations of affine Lie algebras. Zbl 0903.17011Futorny, Vyacheslav M. 20 1997 Fibers of characters in Gelfand-Tsetlin categories. Zbl 1307.16005Futorny, Vyacheslav; Ovsienko, Serge 19 2014 Irreducible generic Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). Zbl 1347.17012Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 18 2015 Galois orders in skew monoid rings. Zbl 1204.16010Futorny, Vyacheslav; Ovsienko, Serge 18 2010 Singular Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). Zbl 1391.17005Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 17 2016 Irreducible non-dense \(A_ 1^{(1)}\)-modules. Zbl 0863.17021Futorny, V. M. 17 1996 Systems of subspaces of a unitary space. Zbl 1261.15004Bondarenko, Vitalij M.; Futorny, Vyacheslav; Klimchuk, Tatiana; Sergeichuk, Vladimir V.; Yusenko, Kostyantyn 16 2013 Weight modules for Weyl algebras. Zbl 1057.16021Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav 15 2004 \(S\)-subcategories in \(O\). Zbl 1018.17005Futorny, Vyacheslav; König, Steffen; Mazorchuk, Volodymyr 14 2000 Stratified \(L\)-modules. Zbl 0817.17009Coleman, A. John; Futorny, Vyacheslav M. 14 1994 On Gelfand-Zetlin modules. Zbl 0754.17005Drozd, Yu. A.; Ovsienko, S. A.; Futornyj, V. M. 14 1991 Roth’s solvability criteria for the matrix equations \(AX-\hat{X}B=C\) and \(X-A\hat{X}B=C\) over the skew field of quaternions with an involutive automorphism \(q \mapsto \hat{q}\). Zbl 1352.15018Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 13 2016 Miniversal deformations of matrices of bilinear forms. Zbl 1245.15017Dmytryshyn, Andrii R.; Futorny, Vyacheslav; Sergeichuk, Vladimir V. 13 2012 Structure of \(\alpha\)-stratified modules for finite-dimensional Lie algebras. I. Zbl 0869.17006Futorny, V.; Mazorchuk, V. 13 1996 Multiparameter twisted Weyl algebras. Zbl 1260.16022Futorny, Vyacheslav; Hartwig, Jonas T. 11 2012 Simple \(A_ 2\)-modules with a finite dimensional weight space. Zbl 0819.17007Britten, D. J.; Lemire, F. W.; Futorny, V. M. 11 1995 New irreducible modules for Heisenberg and affine Lie algebras. Zbl 1306.17009Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav; Kashuba, Iryna 10 2013 Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras. Zbl 1017.17008Futorny, V.; Tsylke, A. 10 2001 New singular Gelfand-Tsetlin \(\mathfrak{gl}(n)\)-modules of index 2. Zbl 1396.17006Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 9 2017 On the classification of irreducible Gelfand-Tsetlin modules of \(\mathfrak{sl}(3)\). Zbl 1358.17011Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 9 2014 Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex. Zbl 1306.17008Billig, Yuly; Futorny, Vyacheslav 9 2014 Weight modules over infinite dimensional Weyl algebras. Zbl 1331.17020Futorny, Vyacheslav; Grantcharov, Dimitar; Mazorchuk, Volodymyr 9 2014 Borel subalgebras and categories of highest weight modules for toroidal Lie algebras. Zbl 0969.17006Cox, B.; Futorny, V. 9 2001 A combinatorial description of blocks in \({\mathcal O}({\mathcal P},\Lambda)\) associated with \(sl(2)\)-induction. Zbl 1018.17004Futorny, V.; König, S.; Mazorchuk, V. 9 2000 The parabolic subsets of root system and corresponding representations of affine Lie algebras. Zbl 0774.17030Futornyj, V. M. 9 1992 On the consistency of twisted generalized Weyl algebras. Zbl 1281.16031Futorny, Vyacheslav; Hartwig, Jonas T. 8 2012 Free field realizations of the elliptic affine Lie algebra \(\mathfrak{sl}(2, \mathbb R)\oplus (\varOmega_R/dR)\). Zbl 1217.17015Bueno, André; Cox, Ben; Futorny, Vyacheslav 8 2009 Kostant’s theorem for special filtered algebras. Zbl 1142.17005Futorny, Vyacheslav; Ovsienko, Serge 8 2005 Categories of induced modules for Lie algebras with triangular decomposition. Zbl 0991.17019Futorny, Vyacheslav; König, Steffen; Mazorchuk, Volodymyr 8 2001 Lie algebras of vector fields on smooth affine varieties. Zbl 1434.17029Billig, Yuly; Futorny, Vyacheslav 7 2018 Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence. Zbl 1305.15032Dmytryshyn, Andrii; Futorny, Vyacheslav; Kågström, Bo; Klimenko, Lena; Sergeichuk, Vladimir V. 7 2015 Miniversal deformations of matrices under *congruence and reducing transformations. Zbl 1321.15026Dmytryshyn, Andrii; Futorny, Vyacheslav; Sergeichuk, Vladimir V. 7 2014 Integrable modules for affine Lie superalgebras. Zbl 1197.17013Eswara Rao, Senapathi; Futorny, Vyacheslav 7 2009 Structure of intermediate Wakimoto modules. Zbl 1168.17014Cox, Ben L.; Futorny, Vyacheslav 7 2006 Harish-Chandra modules for Yangians. Zbl 1190.17006Futorny, Vyacheslav; Molev, Alexander; Ovsienko, Serge 7 2005 Intermediate Wakimoto modules for affine \(\mathfrak{sl}(n+1, \mathbb C)\). Zbl 1073.81048Cox, Ben L.; Futorny, Vyacheslav 7 2004 Highest weight categories of Lie algebra modules. Zbl 0926.17005Futorny, V.; Mazorchuk, V. 7 1999 Classification of simple cuspidal modules for solenoidal Lie algebras. Zbl 1432.17026Billig, Yuly; Futorny, Vyacheslav 6 2017 Weight representations of admissible affine vertex algebras. Zbl 1406.17037Arakawa, Tomoyuki; Futorny, Vyacheslav; Ramirez, Luis Enrique 6 2017 Solution of a \(q\)-difference Noether problem and the quantum Gelfand-Kirillov conjecture for \(\mathfrak{gl}_N\). Zbl 1297.17010Futorny, Vyacheslav; Hartwig, Jonas T. 6 2014 Imaginary Verma modules and Kashiwara algebras for \(U_q(\widehat{{\mathfrak{sl}}}(2))\). Zbl 1267.17009Cox, Ben; Futorny, Vyacheslav; Misra, Kailash 6 2010 Parabolic sets of roots. Zbl 1229.17008Dimitrov, Ivan; Futorny, Vyacheslav; Grantcharov, Dimitar 6 2009 Representation type of the blocks of category \(\mathcal O\). Zbl 1021.17008Futorny, Vyacheslav; Nakano, Daniel K.; Pollack, R. David 6 2001 Verma type modules for toroidal Lie algebras. Zbl 0940.17011Futorny, Vyacheslav; Kashuba, Iryna 6 1999 Harish-Chandra S-homomorphism and \({\mathfrak G}\)-modules generated by a semiprimitive element. Zbl 0717.17010Drozd, Yu. A.; Ovsienko, S. A.; Futornyj, V. M. 6 1990 Weyl modules associated to Kac-Moody Lie algebras. Zbl 1403.17025Eswara Rao, S.; Futorny, V.; Sharma, Sachin S. 5 2016 Change of the \(^*\)congruence canonical form of 2-by-2 matrices under perturbations. Zbl 1288.15015Futorny, Vyacheslav; Klimenko, Lena; Sergeichuk, Vladimir 5 2014 DJKM algebras. I: Their universal central extension. Zbl 1269.17009Cox, Ben; Futorny, Vyacheslav 5 2011 Gelfand-Tsetlin bases for representations of finite \(W\)-algebras and shifted Yangians. Zbl 1202.81093Futorny, V.; Molev, A.; Ovsienko, S. 5 2008 On small world semiplanes with generalised Schubert cells. Zbl 1117.14050Futorny, Vyacheslav; Ustimenko, Vasyl 5 2007 Imaginary Verma modules for the extended affine Lie algebra \(sl_2(\mathbb C_q)\). Zbl 1026.17029Dokuchaev, M.; Vasconcellos Figueiredo, L. M.; Futorny, V. 5 2003 A generalization of Verma modules, and irreducible representations of the Lie algebra sl(3). Zbl 0614.17005Futornyj, V. M. 5 1986 Combinatorial construction of Gelfand-Tsetlin modules for \(\mathfrak{gl}_n\). Zbl 1446.17014Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian 4 2019 Noncommutative Noether’s problem for complex reflection groups. Zbl 1407.16022Eshmatov, Farkhod; Futorny, Vyacheslav; Ovsienko, Sergiy; Schwarz, Joao Fernando 4 2017 Generalization of Roth’s solvability criteria to systems of matrix equations. Zbl 1365.15020Dmytryshyn, Andrii; Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 4 2017 Quantization of the shift of argument subalgebras in type \(A\). Zbl 1376.17017Futorny, Vyacheslav; Molev, Alexander 4 2015 Representations of loop Kac-Moody Lie algebras. Zbl 1278.17024Eswara Rao, S.; Futorny, Vyacheslav 4 2013 Torsion theories induced from commutative subalgebras. Zbl 1236.16006Futorny, Vyacheslav; Ovsienko, Serge; Saorín, Manuel 4 2011 A criterion for unitary similarity of upper triangular matrices in general position. Zbl 1223.15016Farenick, Douglas; Futorny, Vyacheslav; Gerasimova, Tatiana G.; Sergeichuk, Vladimir V.; Shvai, Nadya 4 2011 A canonical form for nonderogatory matrices under unitary similarity. Zbl 1288.15014Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 4 2011 Induced modules for affine Lie algebras. Zbl 1209.17021Futorny, Vyacheslav; Kashuba, Iryna 4 2009 Submodule lattice of generalized Verma modules. Zbl 1058.17004Britten, D. J.; Futorny, V. M.; Lemire, F. W. 4 2003 Categories of nonstandard highest weight modules for affine Lie algebras. Zbl 0851.17025Cox, B.; Futorny, V.; Melville, D. 4 1996 Gelfand-Zetlin modules over Lie algebra \(SL(3)\). Zbl 0773.17003Drozd, Yu. A.; Ovsienko, S. A.; Futornyj, V. M. 4 1992 Irreducible weighted sl(3)-modules. Zbl 0717.17009Drozd, Yu. A.; Ovsienko, S. A.; Futornyj, V. M. 4 1989 Galois ordered of symmetric differential operators. Zbl 1390.16025Futorny, Vyacheslav; Schwarz, João 3 2017 Generalized loop modules for affine Kac-Moody algebras. Zbl 1391.17024Futorny, Vyacheslav; Kashuba, Iryna 3 2014 Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings. Zbl 1302.15014Futorny, Vyacheslav; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 3 2014 Dynkin diagrams and spectra of graphs. Zbl 1351.05140Dokuchaev, Michael A.; Gubareni, Nadiya M.; Futorny, Vyacheslav M.; Khibina, Marina A.; Kirichenko, Vladimir V. 3 2013 DJKM algebras and non-classical orthogonal polynomials. Zbl 1302.17034Cox, Ben; Futorny, Vyacheslav; Tirao, Juan A. 3 2013 Irreducible subquotients of generic Gelfand-Tsetlin modules over \(U_q(\mathfrak{gl}_n)\). Zbl 1433.17016Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian 2 2018 Structure of parabolically induced modules for affine Kac-Moody algebras. Zbl 1425.17035Futorny, Vyacheslav; Kashuba, Iryna 2 2018 Imaginary Verma modules for \(U_q(\widehat{\mathfrak{sl}(2)})\) and crystal-like bases. Zbl 1418.17033Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. 2 2017 Specht’s criterion for systems of linear mappings. Zbl 1358.15007Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 2 2017 Localization of free field realizations of affine Lie algebras. Zbl 1390.17034Futorny, Vyacheslav; Grantcharov, Dimitar; Martins, Renato A. 2 2015 Irreducible completely pointed modules of quantum groups of type \(A\). Zbl 1369.17009Futorny, Vyacheslav; Hartwig, Jonas; Wilson, Evan 2 2015 Imaginary Verma modules and Kashiwara algebras for \(U_q(\hat{\mathfrak{g}})\). Zbl 1352.17016Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. 2 2015 An imaginary PBW basis for quantum affine algebras of type 1. Zbl 1382.17009Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. 2 2015 Commutative algebras in Drinfeld categories of abelian Lie algebras. Zbl 1302.17011Davydov, Alexei; Futorny, Vyacheslav 2 2012 Harish-Chandra categories. Zbl 1211.16006Futorny, Vyacheslav; Ovsienko, Serge 2 2007 Verma-type modules for quantum affine Lie algebras. Zbl 1129.17011Futorny, Vyacheslav M.; Grishkov, Alexander N.; Melville, Duncan J. 2 2005 A reduction theorem for highest weight modules over toroidal Lie algebras. Zbl 1090.17011Dimitrov, Ivan; Futorny, Vyacheslav; Penkov, Ivan 2 2004 A new category of Lie algebra modules satisfying the BGG reciprocity principle. Zbl 0817.17010Futorny, V. M.; Pollack, D. 2 1994 Verma-type modules over affine Lie algebras. Zbl 0817.17026Futorny, V. M. 2 1993 Imaginary Verma modules for affine Lie algebras. Zbl 0771.17018Futorny, V. M. 2 1992 Weight sl(3)-modules generated by semiprimitive elements. Zbl 0733.17004Futornyj, V. M. 2 1991 Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of Verma modules. Zbl 07198539Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique; Zadunaisky, Pablo 1 2020 Drinfeld category and the classification of singular Gelfand-Tsetlin \(\mathfrak{gl}_n\)-modules. Zbl 1439.17011Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 1 2019 Wildness for tensors. Zbl 1447.16011Futorny, Vyacheslav; Grochow, Joshua A.; Sergeichuk, Vladimir V. 1 2019 Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators. Zbl 1431.16022Bavula, V.; Bekkert, V.; Futorny, V. 1 2018 Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. Zbl 1374.15024Futorny, Vyacheslav; Klymchuk, Tetiana; Petravchuk, Anatolii P.; Sergeichuk, Vladimir V. 1 2018 Representations of \(D_q(k[x])\). Zbl 1348.16020Futorny, Vyacheslav; Iyer, Uma N. 1 2016 Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra. Zbl 1391.17023Cox, Ben; Futorny, Vyacheslav; Martins, Renato Alessandro 1 2014 Chiral anomaly via vertex algebroids. Zbl 1331.53040Bressler, Paul; Futorny, Vyacheslav 1 2014 Tilting, deformations and representations of linear groups over Euclidean algebras. Zbl 1275.22015Bekkert, Viktor; Drozd, Yuriy; Futorny, Vyacheslav 1 2013 Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of Verma modules. Zbl 07198539Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique; Zadunaisky, Pablo 1 2020 Combinatorial construction of Gelfand-Tsetlin modules for \(\mathfrak{gl}_n\). Zbl 1446.17014Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian 4 2019 Drinfeld category and the classification of singular Gelfand-Tsetlin \(\mathfrak{gl}_n\)-modules. Zbl 1439.17011Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 1 2019 Wildness for tensors. Zbl 1447.16011Futorny, Vyacheslav; Grochow, Joshua A.; Sergeichuk, Vladimir V. 1 2019 Lie algebras of vector fields on smooth affine varieties. Zbl 1434.17029Billig, Yuly; Futorny, Vyacheslav 7 2018 Irreducible subquotients of generic Gelfand-Tsetlin modules over \(U_q(\mathfrak{gl}_n)\). Zbl 1433.17016Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian 2 2018 Structure of parabolically induced modules for affine Kac-Moody algebras. Zbl 1425.17035Futorny, Vyacheslav; Kashuba, Iryna 2 2018 Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators. Zbl 1431.16022Bavula, V.; Bekkert, V.; Futorny, V. 1 2018 Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. Zbl 1374.15024Futorny, Vyacheslav; Klymchuk, Tetiana; Petravchuk, Anatolii P.; Sergeichuk, Vladimir V. 1 2018 New singular Gelfand-Tsetlin \(\mathfrak{gl}(n)\)-modules of index 2. Zbl 1396.17006Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 9 2017 Classification of simple cuspidal modules for solenoidal Lie algebras. Zbl 1432.17026Billig, Yuly; Futorny, Vyacheslav 6 2017 Weight representations of admissible affine vertex algebras. Zbl 1406.17037Arakawa, Tomoyuki; Futorny, Vyacheslav; Ramirez, Luis Enrique 6 2017 Noncommutative Noether’s problem for complex reflection groups. Zbl 1407.16022Eshmatov, Farkhod; Futorny, Vyacheslav; Ovsienko, Sergiy; Schwarz, Joao Fernando 4 2017 Generalization of Roth’s solvability criteria to systems of matrix equations. Zbl 1365.15020Dmytryshyn, Andrii; Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 4 2017 Galois ordered of symmetric differential operators. Zbl 1390.16025Futorny, Vyacheslav; Schwarz, João 3 2017 Imaginary Verma modules for \(U_q(\widehat{\mathfrak{sl}(2)})\) and crystal-like bases. Zbl 1418.17033Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. 2 2017 Specht’s criterion for systems of linear mappings. Zbl 1358.15007Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 2 2017 Classification of irreducible representations of Lie algebra of vector fields on a torus. Zbl 1379.17011Billig, Yuly; Futorny, Vyacheslav 22 2016 Singular Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). Zbl 1391.17005Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 17 2016 Roth’s solvability criteria for the matrix equations \(AX-\hat{X}B=C\) and \(X-A\hat{X}B=C\) over the skew field of quaternions with an involutive automorphism \(q \mapsto \hat{q}\). Zbl 1352.15018Futorny, Vyacheslav; Klymchuk, Tetiana; Sergeichuk, Vladimir V. 13 2016 Weyl modules associated to Kac-Moody Lie algebras. Zbl 1403.17025Eswara Rao, S.; Futorny, V.; Sharma, Sachin S. 5 2016 Representations of \(D_q(k[x])\). Zbl 1348.16020Futorny, Vyacheslav; Iyer, Uma N. 1 2016 Irreducible generic Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). Zbl 1347.17012Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 18 2015 Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence. Zbl 1305.15032Dmytryshyn, Andrii; Futorny, Vyacheslav; Kågström, Bo; Klimenko, Lena; Sergeichuk, Vladimir V. 7 2015 Quantization of the shift of argument subalgebras in type \(A\). Zbl 1376.17017Futorny, Vyacheslav; Molev, Alexander 4 2015 Localization of free field realizations of affine Lie algebras. Zbl 1390.17034Futorny, Vyacheslav; Grantcharov, Dimitar; Martins, Renato A. 2 2015 Irreducible completely pointed modules of quantum groups of type \(A\). Zbl 1369.17009Futorny, Vyacheslav; Hartwig, Jonas; Wilson, Evan 2 2015 Imaginary Verma modules and Kashiwara algebras for \(U_q(\hat{\mathfrak{g}})\). Zbl 1352.17016Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. 2 2015 An imaginary PBW basis for quantum affine algebras of type 1. Zbl 1382.17009Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. 2 2015 Fibers of characters in Gelfand-Tsetlin categories. Zbl 1307.16005Futorny, Vyacheslav; Ovsienko, Serge 19 2014 On the classification of irreducible Gelfand-Tsetlin modules of \(\mathfrak{sl}(3)\). Zbl 1358.17011Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique 9 2014 Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex. Zbl 1306.17008Billig, Yuly; Futorny, Vyacheslav 9 2014 Weight modules over infinite dimensional Weyl algebras. Zbl 1331.17020Futorny, Vyacheslav; Grantcharov, Dimitar; Mazorchuk, Volodymyr 9 2014 Miniversal deformations of matrices under *congruence and reducing transformations. Zbl 1321.15026Dmytryshyn, Andrii; Futorny, Vyacheslav; Sergeichuk, Vladimir V. 7 2014 Solution of a \(q\)-difference Noether problem and the quantum Gelfand-Kirillov conjecture for \(\mathfrak{gl}_N\). Zbl 1297.17010Futorny, Vyacheslav; Hartwig, Jonas T. 6 2014 Change of the \(^*\)congruence canonical form of 2-by-2 matrices under perturbations. Zbl 1288.15015Futorny, Vyacheslav; Klimenko, Lena; Sergeichuk, Vladimir 5 2014 Generalized loop modules for affine Kac-Moody algebras. Zbl 1391.17024Futorny, Vyacheslav; Kashuba, Iryna 3 2014 Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings. Zbl 1302.15014Futorny, Vyacheslav; Rybalkina, Tetiana; Sergeichuk, Vladimir V. 3 2014 Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra. Zbl 1391.17023Cox, Ben; Futorny, Vyacheslav; Martins, Renato Alessandro 1 2014 Chiral anomaly via vertex algebroids. Zbl 1331.53040Bressler, Paul; Futorny, Vyacheslav 1 2014 Systems of subspaces of a unitary space. Zbl 1261.15004Bondarenko, Vitalij M.; Futorny, Vyacheslav; Klimchuk, Tatiana; Sergeichuk, Vladimir V.; Yusenko, Kostyantyn 16 2013 New irreducible modules for Heisenberg and affine Lie algebras. Zbl 1306.17009Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav; Kashuba, Iryna 10 2013 Representations of loop Kac-Moody Lie algebras. Zbl 1278.17024Eswara Rao, S.; Futorny, Vyacheslav 4 2013 Dynkin diagrams and spectra of graphs. Zbl 1351.05140Dokuchaev, Michael A.; Gubareni, Nadiya M.; Futorny, Vyacheslav M.; Khibina, Marina A.; Kirichenko, Vladimir V. 3 2013 DJKM algebras and non-classical orthogonal polynomials. Zbl 1302.17034Cox, Ben; Futorny, Vyacheslav; Tirao, Juan A. 3 2013 Tilting, deformations and representations of linear groups over Euclidean algebras. Zbl 1275.22015Bekkert, Viktor; Drozd, Yuriy; Futorny, Vyacheslav 1 2013 Miniversal deformations of matrices of bilinear forms. Zbl 1245.15017Dmytryshyn, Andrii R.; Futorny, Vyacheslav; Sergeichuk, Vladimir V. 13 2012 Multiparameter twisted Weyl algebras. Zbl 1260.16022Futorny, Vyacheslav; Hartwig, Jonas T. 11 2012 On the consistency of twisted generalized Weyl algebras. Zbl 1281.16031Futorny, Vyacheslav; Hartwig, Jonas T. 8 2012 Commutative algebras in Drinfeld categories of abelian Lie algebras. Zbl 1302.17011Davydov, Alexei; Futorny, Vyacheslav 2 2012 DJKM algebras. I: Their universal central extension. Zbl 1269.17009Cox, Ben; Futorny, Vyacheslav 5 2011 Torsion theories induced from commutative subalgebras. Zbl 1236.16006Futorny, Vyacheslav; Ovsienko, Serge; Saorín, Manuel 4 2011 A criterion for unitary similarity of upper triangular matrices in general position. Zbl 1223.15016Farenick, Douglas; Futorny, Vyacheslav; Gerasimova, Tatiana G.; Sergeichuk, Vladimir V.; Shvai, Nadya 4 2011 A canonical form for nonderogatory matrices under unitary similarity. Zbl 1288.15014Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 4 2011 The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras. Zbl 1268.17012Futorny, Vyacheslav; Molev, Alexander; Ovsienko, Serge 20 2010 Galois orders in skew monoid rings. Zbl 1204.16010Futorny, Vyacheslav; Ovsienko, Serge 18 2010 Imaginary Verma modules and Kashiwara algebras for \(U_q(\widehat{{\mathfrak{sl}}}(2))\). Zbl 1267.17009Cox, Ben; Futorny, Vyacheslav; Misra, Kailash 6 2010 Free field realizations of the elliptic affine Lie algebra \(\mathfrak{sl}(2, \mathbb R)\oplus (\varOmega_R/dR)\). Zbl 1217.17015Bueno, André; Cox, Ben; Futorny, Vyacheslav 8 2009 Integrable modules for affine Lie superalgebras. Zbl 1197.17013Eswara Rao, Senapathi; Futorny, Vyacheslav 7 2009 Parabolic sets of roots. Zbl 1229.17008Dimitrov, Ivan; Futorny, Vyacheslav; Grantcharov, Dimitar 6 2009 Induced modules for affine Lie algebras. Zbl 1209.17021Futorny, Vyacheslav; Kashuba, Iryna 4 2009 Derived tame local and two-point algebras. Zbl 1191.16017Bekkert, Viktor; Drozd, Yuriy; Futorny, Vyacheslav 1 2009 Gelfand-Tsetlin bases for representations of finite \(W\)-algebras and shifted Yangians. Zbl 1202.81093Futorny, V.; Molev, A.; Ovsienko, S. 5 2008 On moduli spaces for abelian categories. Zbl 1168.14010Futorny, Vyacheslav; Jardim, Marcos; Moura, Adriano A. 1 2008 Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms. Zbl 1138.15002Futorny, Vyacheslav; Horn, Roger A.; Sergeichuk, Vladimir V. 1 2008 On small world semiplanes with generalised Schubert cells. Zbl 1117.14050Futorny, Vyacheslav; Ustimenko, Vasyl 5 2007 Harish-Chandra categories. Zbl 1211.16006Futorny, Vyacheslav; Ovsienko, Serge 2 2007 Classification of sesquilinear forms with the first argument on a subspace or a factor space. Zbl 1118.15025Futorny, Vyacheslav; Sergeichuk, Vladimir V. 1 2007 Structure of intermediate Wakimoto modules. Zbl 1168.17014Cox, Ben L.; Futorny, Vyacheslav 7 2006 Verma modules for Yangians. Zbl 1124.17004Billig, Y.; Futorny, V.; Molev, A. 1 2006 Representations of affine Lie superalgebras. Zbl 1106.17002Futorny, Vyacheslav 1 2006 Kostant’s theorem for special filtered algebras. Zbl 1142.17005Futorny, Vyacheslav; Ovsienko, Serge 8 2005 Harish-Chandra modules for Yangians. Zbl 1190.17006Futorny, Vyacheslav; Molev, Alexander; Ovsienko, Serge 7 2005 Verma-type modules for quantum affine Lie algebras. Zbl 1129.17011Futorny, Vyacheslav M.; Grishkov, Alexander N.; Melville, Duncan J. 2 2005 Weight modules for Weyl algebras. Zbl 1057.16021Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav 15 2004 Intermediate Wakimoto modules for affine \(\mathfrak{sl}(n+1, \mathbb C)\). Zbl 1073.81048Cox, Ben L.; Futorny, Vyacheslav 7 2004 A reduction theorem for highest weight modules over toroidal Lie algebras. Zbl 1090.17011Dimitrov, Ivan; Futorny, Vyacheslav; Penkov, Ivan 2 2004 Harish-Chandra categories and Kostant’s theorem. Zbl 1166.17300Futorny, Vyacheslav 1 2004 Imaginary Verma modules for the extended affine Lie algebra \(sl_2(\mathbb C_q)\). Zbl 1026.17029Dokuchaev, M.; Vasconcellos Figueiredo, L. M.; Futorny, V. 5 2003 Submodule lattice of generalized Verma modules. Zbl 1058.17004Britten, D. J.; Futorny, V. M.; Lemire, F. W. 4 2003 Derived categories of Schur algebras. Zbl 1067.16015Bekkert, Viktor; Futorny, Vyacheslav 1 2003 Categories of induced modules and standardly stratified algebras. Zbl 1031.17008Futorny, V.; König, S.; Mazorchuk, V. 24 2002 Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras. Zbl 1017.17008Futorny, V.; Tsylke, A. 10 2001 Borel subalgebras and categories of highest weight modules for toroidal Lie algebras. Zbl 0969.17006Cox, B.; Futorny, V. 9 2001 Categories of induced modules for Lie algebras with triangular decomposition. Zbl 0991.17019Futorny, Vyacheslav; König, Steffen; Mazorchuk, Volodymyr 8 2001 Representation type of the blocks of category \(\mathcal O\). Zbl 1021.17008Futorny, Vyacheslav; Nakano, Daniel K.; Pollack, R. David 6 2001 \(S\)-subcategories in \(O\). Zbl 1018.17005Futorny, Vyacheslav; König, Steffen; Mazorchuk, Volodymyr 14 2000 A combinatorial description of blocks in \({\mathcal O}({\mathcal P},\Lambda)\) associated with \(sl(2)\)-induction. Zbl 1018.17004Futorny, V.; König, S.; Mazorchuk, V. 9 2000 Highest weight categories of Lie algebra modules. Zbl 0926.17005Futorny, V.; Mazorchuk, V. 7 1999 Verma type modules for toroidal Lie algebras. Zbl 0940.17011Futorny, Vyacheslav; Kashuba, Iryna 6 1999 BGG-resolution for \(\alpha\)-stratified modules over simply-laced finite-dimensional Lie algebras. Zbl 0926.17006Futorny, V.; Mazorchuk, V. 1 1998 Representations of affine Lie algebras. Zbl 0903.17011Futorny, Vyacheslav M. 20 1997 Irreducible non-dense \(A_ 1^{(1)}\)-modules. Zbl 0863.17021Futorny, V. M. 17 1996 Structure of \(\alpha\)-stratified modules for finite-dimensional Lie algebras. I. Zbl 0869.17006Futorny, V.; Mazorchuk, V. 13 1996 Categories of nonstandard highest weight modules for affine Lie algebras. Zbl 0851.17025Cox, B.; Futorny, V.; Melville, D. 4 1996 Simple \(A_ 2\)-modules with a finite dimensional weight space. Zbl 0819.17007Britten, D. J.; Lemire, F. W.; Futorny, V. M. 11 1995 Harish-Chandra subalgebras and Gelfand-Zetlin modules. Zbl 0812.17007Drozd, Yu. A.; Futorny, V. M.; Ovsienko, S. A. 39 1994 Imaginary Verma modules for affine Lie algebras. Zbl 0829.17017Futorny, V. M. 25 1994 Stratified \(L\)-modules. Zbl 0817.17009Coleman, A. John; Futorny, Vyacheslav M. 14 1994 A new category of Lie algebra modules satisfying the BGG reciprocity principle. Zbl 0817.17010Futorny, V. M.; Pollack, D. 2 1994 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 340 Authors 71 Futorny, Vyacheslav M. 27 Mazorchuk, Volodymyr 18 Zhao, Kaiming 17 Cox, Ben Lewis 16 Hartwig, Jonas T. 13 Ramirez, Luis Enrique 12 Grantcharov, Dimitar 12 Lü, Rencai 11 Dmytryshyn, Andrii R. 11 Simson, Daniel 10 Eswara Rao, Senapathi 10 Sergeichuk, Vladimir Vasil’evich 9 Billig, Yuly 9 Liu, Genqiang 8 Ovsienko, Sergei A. 7 Guo, Xiangqian 7 He, ZhuoHeng 7 Molev, Alexander I. 6 Martins, Renato Alessandro 5 Adamović, Dražen 5 Cai, Yanan 5 Khomenko, Oleksandr 5 Nilsson, Jonathan 5 Schwarz, João Fernando 5 Stroppel, Catharina H. 5 Xu, Xiaoping 4 Britten, Daniel J. 4 Gąsiorek, Marcin 4 Kågström, Bo 4 Kashuba, Iryna 4 Khomenko, Alexandre 4 König, Steffen 4 Misra, Kailash C. 4 Ridout, David 4 Rybalkina, Tetiana 4 Serganova, Vera V. 4 Tan, Shao Bin 4 Xu, Chengkang 4 Zajac, Katarzyna 3 Ágoston, István 3 Bavula, Vladimir V. 3 Bondarenko, Vitalij M. 3 da Fonseca, Carlos Martins 3 Dimitrov, Ivan P. 3 Dlab, Vlastimil H. 3 Křižka, Libor 3 Kyrchei, Ivan I. 3 Lemire, F. W. 3 Li, Haisheng 3 Liu, Xuewen 3 Lukács, Erzsébet 3 Sartori, Antonio 3 Shavarovs’kij, B. Z. 3 Tomasini, Guillaume 3 Webster, Ben 3 Zadunaisky, Pablo 3 Zhang, Jian 3 Zhang, Yang 2 Batra, Punita 2 Chen, Wenbing 2 Cheng, Xiaoyan 2 Colarusso, Mark 2 Creutzig, Thomas 2 Dubsky, Brendan Frisk 2 Felisiak, Mariusz 2 Finkelberg, Michael Vladlenovich 2 Futorny, Viatcheslav M. 2 Greenstein, Jacob 2 Guterman, Alexander Emilevich 2 Im, Mee Seong 2 Iusenko, Kostiantyn 2 Jiang, Cuipo 2 Jing, Naihuan 2 Jurisich, Elizabeth 2 Kanade, Shashank 2 Khandai, Tanusree 2 Lemurell, Stefan 2 Li, Zhiqiang 2 Liu, Dong 2 Liu, Xin 2 Markova, Olga V. 2 Moura, Adriano A. 2 Nakano, Daniel K. 2 Pedić, Veronika 2 Penkov, Ivan B. 2 Platt, Kenyon J. 2 Rapčák, Miroslav 2 Rosso, Daniele 2 Tan, Haijun 2 Tang, Yuansheng 2 Wang, Qingwen 2 Wen, Daowei 2 Yu, Nina 2 Zhu, Bin 1 Agerholm, Troels 1 Akram, Muhammad 1 Ali, Ilyas 1 Arakawa, Tomoyuki 1 Auger, Jean-Claude 1 Bai, Zhanqiang ...and 240 more Authors all top 5 Cited in 83 Serials 64 Journal of Algebra 34 Communications in Algebra 31 Linear Algebra and its Applications 26 Journal of Pure and Applied Algebra 15 Advances in Mathematics 12 Algebras and Representation Theory 11 Proceedings of the American Mathematical Society 9 Communications in Mathematical Physics 8 Journal of Mathematical Physics 8 Transactions of the American Mathematical Society 6 Journal of Algebra and its Applications 6 São Paulo Journal of Mathematical Sciences 5 Israel Journal of Mathematics 4 Mathematische Zeitschrift 4 Advances in Applied Clifford Algebras 4 Transformation Groups 4 Frontiers of Mathematics in China 3 Letters in Mathematical Physics 3 Representation Theory 3 Journal of High Energy Physics 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Nuclear Physics. B 2 Ukrainian Mathematical Journal 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Automatica 2 Journal für die Reine und Angewandte Mathematik 2 Forum Mathematicum 2 Selecta Mathematica. New Series 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Abstract and Applied Analysis 2 Communications in Contemporary Mathematics 2 Algebra and Discrete Mathematics 2 Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Linear and Multilinear Algebra 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Siberian Mathematical Journal 1 European Journal of Combinatorics 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Integral Transforms and Special Functions 1 Sbornik: Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 Doklady Mathematics 1 The Ramanujan Journal 1 Journal of Group Theory 1 Acta Mathematica Sinica. English Series 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica 1 Mathematics in Computer Science 1 Journal of Noncommutative Geometry 1 Quantum Topology 1 Science China. Mathematics 1 Journal of Singularities 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Cited in 36 Fields 243 Nonassociative rings and algebras (17-XX) 90 Associative rings and algebras (16-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 27 Quantum theory (81-XX) 25 Combinatorics (05-XX) 22 Group theory and generalizations (20-XX) 20 Algebraic geometry (14-XX) 16 Topological groups, Lie groups (22-XX) 11 Category theory; homological algebra (18-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Computer science (68-XX) 7 Operator theory (47-XX) 6 Commutative algebra (13-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Number theory (11-XX) 4 Numerical analysis (65-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Differential geometry (53-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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