Edit Profile (opens in new tab) Elashvili, Alexander Grigorievich Co-Author Distance Author ID: elashvili.alexander-g Published as: Èlashvili, A. G.; Elashvili, A. G.; Elashvili, A.; Elashvili, Alexander G.; Elashvili, Alexander; Èlashvili, Alexander G. more...less Homepage: http://rmi.ge/~alela/ External Links: MGP · Google Scholar · Math-Net.Ru Documents Indexed: 36 Publications since 1967, including 2 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 5 Reviews Co-Authors: 18 Co-Authors with 24 Joint Publications 553 Co-Co-Authors all top 5 Co-Authors 12 single-authored 9 Kac, Victor 7 Jibladze, Mamuka A. 6 Vinberg, Èrnest Borisovich 4 Panyushev, Dmitri Ivanovich 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Belolipetsky, Mikhail V. 2 Gindikin, Simon Grigorevich 2 Shvartsman, O. V. 2 Timashev, Dmitri A. 2 Yakimova, Oksana S. 1 Andreev, E. M. 1 Antonyan, L. V. 1 de Graaf, Willem Adriaan 1 Ginzburg, Victor 1 Grelaud, Gerard 1 Khimshiashvili, Giorgi 1 Ooms, Alfons I. 1 Panov, Aleksandr Nikolaevich 1 Pataraia, Dito all top 5 Serials 5 Functional Analysis and its Applications 5 Proceedings of A. Razmadze Mathematical Institute 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 2 Journal of Lie Theory 2 Transformation Groups 1 Russian Mathematical Surveys 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Selecta Mathematica Sovietica 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 1 Georgian Mathematical Journal 1 Voprosy Algebry 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Transactions of A. Razmadze Mathematical Institute all top 5 Fields 25 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Group theory and generalizations (20-XX) 4 Algebraic geometry (14-XX) 3 Commutative algebra (13-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 363 times in 281 Documents Cited by ▼ Year ▼ Classification of good gradings of simple Lie algebras. Zbl 1073.17002 Elashvili, A. G.; Kac, V. G. 51 2005 Canonical form and stationary subalgebras of points of general position for simple linear Lie groups. Zbl 0252.22015 Èlashvili, A. G. 44 1972 Orbits of greatest dimension in semisimple linear Lie groups. Zbl 0176.30301 Andreev, E. M.; Vinberg, È. B.; Èlashvili, A. G. 38 1967 The classification of three-vectors of the nine-dimensional space. Zbl 0441.15010 Vinberg, È. B.; Èlashvili, A. G. 25 1978 Lie algebras of simple hypersurface singularities. Zbl 1120.32016 Elashvili, A.; Khimshiashvili, Giorgi 22 2006 Principal nilpotent pairs in a semisimple Lie algebra. I. Zbl 0984.17007 Ginzburg, Victor 22 2000 Stationary subalgebras of points of the common state for irreducible linear Lie groups. Zbl 0252.22016 Èlashvili, A. G. 19 1972 Centralizers of nilpotent elements in semisimple Lie algebras. Zbl 0323.17004 Èlashvili, A. G. 17 1975 Invariant algebras. Zbl 0805.17006 Elashvili, A. G. 13 1992 On commutative polarizations. Zbl 1035.17010 Elashvili, Alexander G.; Ooms, Alfons I. 13 2003 Frobenius Lie algebras. Zbl 0519.17005 Èlashvili, A. G. 12 1983 Cyclic elements in semisimple Lie algebras. Zbl 1329.17007 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 12 2013 Induced nilpotent orbits of the simple Lie algebras of exceptional type. Zbl 1241.17007 de Graaf, Willem A.; Elashvili, Alexander 11 2009 Classification of trivectors of a 9-dimensional space. Zbl 0648.15021 Vinberg, È. B.; Èlashvili, A. G. 10 1988 Combinatorics of necklaces and “Hermite reciprocity”. Zbl 0940.13003 Elashvili, A.; Jibladze, M.; Pataraia, D. 10 1999 On the index of horospherical subalgebras of semisimple Lie algebras. Zbl 0626.17004 Èlashvili, A. G. 9 1985 Frobenius Lie algebras. II. Zbl 0626.17007 Èlashvili, A. G. 9 1985 On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 9 2009 A classification of the principal nilpotent pairs in simple Lie algebras and related problems. Zbl 1011.17009 Elashvili, Alexander G.; Panyushev, Dmitri I. 9 2001 Classification of spinors of dimension sixteen. Zbl 0519.17006 Antonyan, L. V.; Èlashvili, A. G. 7 1982 Hermite reciprocity for the regular representations of cyclic groups. Zbl 0927.13006 Elashvili, A.; Jibladze, M. 5 1998 Classification of compact nilpotent elements of simple Lie algebras. (Classification des éléments nilpotents compacts des algèbres de Lie simples.) Zbl 0814.17005 Èlashvili, Alexander G.; Grélaud, Gérard 5 1993 Moduli algebras of some non-semiquasihomogeneous singularities. Zbl 1387.14047 Elashvili, A. G.; Jibladze, M. A.; Vinberg, E. B. 3 2017 On regular cohomologies of biparabolic subalgebras of \(sl(n)\). Zbl 1406.17026 Elashvili, A.; Rakviashvili, G. 3 2016 “Hermite reciprocity” for semi-invariants in the regular representations of cyclic groups. Zbl 0982.20006 Elashvili, A.; Jibladze, M. 2 1999 Polarizations in semisimple Lie algebras. Zbl 0368.17005 Panov, A. N.; Èlashvili, A. G. 2 1977 Semisimplicity sets for cyclic elements in simple Lie algebras. Zbl 1477.17060 Elashvili, A.; Jibladze, M.; Kac, V. 2 2019 On Dynkin gradings in simple Lie algebras. Zbl 1436.17039 Elashvili, Alexander; Jibladze, Mamuka; Kac, Victor 1 2019 Semisimplicity sets for cyclic elements in simple Lie algebras. Zbl 1477.17060 Elashvili, A.; Jibladze, M.; Kac, V. 2 2019 On Dynkin gradings in simple Lie algebras. Zbl 1436.17039 Elashvili, Alexander; Jibladze, Mamuka; Kac, Victor 1 2019 Moduli algebras of some non-semiquasihomogeneous singularities. Zbl 1387.14047 Elashvili, A. G.; Jibladze, M. A.; Vinberg, E. B. 3 2017 On regular cohomologies of biparabolic subalgebras of \(sl(n)\). Zbl 1406.17026 Elashvili, A.; Rakviashvili, G. 3 2016 Cyclic elements in semisimple Lie algebras. Zbl 1329.17007 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 12 2013 Induced nilpotent orbits of the simple Lie algebras of exceptional type. Zbl 1241.17007 de Graaf, Willem A.; Elashvili, Alexander 11 2009 On exceptional nilpotents in semisimple Lie algebras. Zbl 1252.17006 Elashvili, A. G.; Kac, V. G.; Vinberg, E. B. 9 2009 Lie algebras of simple hypersurface singularities. Zbl 1120.32016 Elashvili, A.; Khimshiashvili, Giorgi 22 2006 Classification of good gradings of simple Lie algebras. Zbl 1073.17002 Elashvili, A. G.; Kac, V. G. 51 2005 On commutative polarizations. Zbl 1035.17010 Elashvili, Alexander G.; Ooms, Alfons I. 13 2003 A classification of the principal nilpotent pairs in simple Lie algebras and related problems. Zbl 1011.17009 Elashvili, Alexander G.; Panyushev, Dmitri I. 9 2001 Principal nilpotent pairs in a semisimple Lie algebra. I. Zbl 0984.17007 Ginzburg, Victor 22 2000 Combinatorics of necklaces and “Hermite reciprocity”. Zbl 0940.13003 Elashvili, A.; Jibladze, M.; Pataraia, D. 10 1999 “Hermite reciprocity” for semi-invariants in the regular representations of cyclic groups. Zbl 0982.20006 Elashvili, A.; Jibladze, M. 2 1999 Hermite reciprocity for the regular representations of cyclic groups. Zbl 0927.13006 Elashvili, A.; Jibladze, M. 5 1998 Classification of compact nilpotent elements of simple Lie algebras. (Classification des éléments nilpotents compacts des algèbres de Lie simples.) Zbl 0814.17005 Èlashvili, Alexander G.; Grélaud, Gérard 5 1993 Invariant algebras. Zbl 0805.17006 Elashvili, A. G. 13 1992 Classification of trivectors of a 9-dimensional space. Zbl 0648.15021 Vinberg, È. B.; Èlashvili, A. G. 10 1988 On the index of horospherical subalgebras of semisimple Lie algebras. Zbl 0626.17004 Èlashvili, A. G. 9 1985 Frobenius Lie algebras. II. Zbl 0626.17007 Èlashvili, A. G. 9 1985 Frobenius Lie algebras. Zbl 0519.17005 Èlashvili, A. G. 12 1983 Classification of spinors of dimension sixteen. Zbl 0519.17006 Antonyan, L. V.; Èlashvili, A. G. 7 1982 The classification of three-vectors of the nine-dimensional space. Zbl 0441.15010 Vinberg, È. B.; Èlashvili, A. G. 25 1978 Polarizations in semisimple Lie algebras. Zbl 0368.17005 Panov, A. N.; Èlashvili, A. G. 2 1977 Centralizers of nilpotent elements in semisimple Lie algebras. Zbl 0323.17004 Èlashvili, A. G. 17 1975 Canonical form and stationary subalgebras of points of general position for simple linear Lie groups. Zbl 0252.22015 Èlashvili, A. G. 44 1972 Stationary subalgebras of points of the common state for irreducible linear Lie groups. Zbl 0252.22016 Èlashvili, A. G. 19 1972 Orbits of greatest dimension in semisimple linear Lie groups. Zbl 0176.30301 Andreev, E. M.; Vinberg, È. B.; Èlashvili, A. G. 38 1967 all cited Publications top 5 cited Publications all top 5 Cited by 289 Authors 18 Yau, Stephen Shing-Toung 18 Zuo, Huaiqing 17 Panyushev, Dmitri Ivanovich 16 Kac, Victor 14 Hussain, Naveed 10 de Graaf, Willem Adriaan 10 Elashvili, Alexander Grigorievich 10 Ooms, Alfons I. 8 Jibladze, Mamuka A. 8 Yakimova, Oksana S. 7 De Sole, Alberto 7 Goodwin, Simon M. 6 Dinar, Yassir Ibrahim 5 Ressayre, Nicolas 5 Valeri, Daniele 4 Baur, Karin 4 Đoković, Dragomir Ž. 4 Premet, Alexander A. 4 Schwarz, Gerald Walter 4 Topley, Lewis William 3 Arakawa, Tomoyuki 3 Borovoi, Mikhail V. 3 Brown, Jonathan S. 3 Chen, Zhiqi 3 Genra, Naoki 3 Han, Leyu 3 Joseph, Anthony 3 Losev, Ivan V. 3 Ma, Guorui 3 Marrani, Alessio 3 Nikonorov, Yurii Gennadyevich 3 Oeding, Luke 3 Vinberg, Èrnest Borisovich 2 Adamović, Dražen 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Bolsinov, Alexey V. 2 Brion, Michel 2 Bulois, Michaël 2 Christandl, Matthias 2 Coll, Vincent E. jun. 2 Creutzig, Thomas 2 De Bruyn, Bart 2 Dedushenko, Mykola 2 Dietrich, Heiko 2 Fuchs, Dmitry Borisovich 2 Fulman, Jason E. 2 Futorny, Vyacheslav M. 2 Gaiotto, Davide 2 Garibaldi, Skip 2 Gorodski, Claudio 2 Heidersdorf, Thorsten 2 Lê Hông Vân 2 Littelmann, Peter 2 Mayers, Nicholas W. 2 Moreau, Anne 2 Möseneder Frajria, Pierluigi 2 Nakajima, Haruhisa 2 Nakatsuka, Shigenori 2 Ovsienko, Sergei A. 2 Papi, Paolo 2 Peng, Yung-Ning 2 Popov, Vladimir Leonidovich 2 Reichstein, Zinovy B. 2 Rubtsov, Vladimir Nikolaevich 2 Sokolov, Vladimir Vyacheslavovich 2 Timashev, Dmitri A. 2 van Ekeren, Jethro 2 Wakimoto, Minoru 2 Wallach, Nolan Russell 2 Xie, Dan 1 Abo, Hirotachi 1 Aholt, Chris 1 Amicone, Floriana 1 An, Jinpeng 1 Andreev, E. M. 1 Andruskiewitsch, Nicolás 1 Arzhantsev, Ivan Vladimirovich 1 Baek, Sanghoon 1 Bangert, Victor 1 Barreiro, Elisabete 1 Baues, Oliver 1 Belolipetsky, Mikhail V. 1 Beltiţă, Daniel 1 Beltiţă, Ingrid 1 Benayadi, Saïd 1 Benito, Pilar 1 Beynon, W. Meurig 1 Boos, Magdalena 1 Borho, Walter 1 Bouarroudj, Sofiane 1 Brundan, Jonathan 1 Bryan, Jim 1 Brylinski, Jean-Luc 1 Burban, Igor 1 Burde, Dietrich 1 Burness, Timothy C. 1 Cariñena, José F. 1 Ceballos, Manuel 1 Chebochko, N. G. 1 Chekalov, Igor V. ...and 189 more Authors all top 5 Cited in 100 Serials 42 Journal of Algebra 13 Advances in Mathematics 11 Transformation Groups 9 Functional Analysis and its Applications 8 Algebras and Representation Theory 7 Inventiones Mathematicae 6 Journal of Mathematical Physics 6 Letters in Mathematical Physics 6 Journal of Geometry and Physics 6 Annales de l’Institut Fourier 6 Journal of Pure and Applied Algebra 6 Mathematische Zeitschrift 5 Communications in Mathematical Physics 5 Linear Algebra and its Applications 5 Representation Theory 4 Communications in Algebra 4 Geometriae Dedicata 4 Transactions of the American Mathematical Society 4 Transactions of the Moscow Mathematical Society 4 Journal of High Energy Physics 4 Journal of Algebra and its Applications 3 Israel Journal of Mathematics 3 Theoretical and Mathematical Physics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Soviet Mathematics 3 Pacific Journal of Mathematics 3 Indagationes Mathematicae. New Series 3 Journal of Algebraic Combinatorics 3 Journal of Lie Theory 3 Selecta Mathematica. New Series 3 Journal of the European Mathematical Society (JEMS) 2 Russian Mathematical Surveys 2 Mathematics of Computation 2 Journal of Combinatorial Theory. Series A 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Annals of Global Analysis and Geometry 2 Forum Mathematicum 2 Differential Geometry and its Applications 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Journal of Physics A: Mathematical and Theoretical 2 Forum of Mathematics, Sigma 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Science in China. Series A 1 International Journal of Mathematics 1 Glasnik Matematički. Serija III 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 St. Petersburg Mathematical Journal 1 Finite Fields and their Applications 1 The Electronic Journal of Combinatorics 1 Izvestiya: Mathematics 1 The Journal of Fourier Analysis and Applications 1 The Ramanujan Journal 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Quantum Information Processing 1 Journal of the Institute of Mathematics of Jussieu 1 Hacettepe Journal of Mathematics and Statistics 1 Oberwolfach Reports 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Journal of Commutative Algebra 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 European Journal of Mathematics 1 Research in Number Theory 1 Transactions of A. Razmadze Mathematical Institute 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 37 Fields 167 Nonassociative rings and algebras (17-XX) 70 Algebraic geometry (14-XX) 55 Group theory and generalizations (20-XX) 33 Topological groups, Lie groups (22-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 Differential geometry (53-XX) 22 Quantum theory (81-XX) 21 Associative rings and algebras (16-XX) 21 Several complex variables and analytic spaces (32-XX) 17 Combinatorics (05-XX) 15 Manifolds and cell complexes (57-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Number theory (11-XX) 10 Commutative algebra (13-XX) 5 Category theory; homological algebra (18-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Algebraic topology (55-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of particles and systems (70-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 \(K\)-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year