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Ostrik, Victor Valentinovich

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Author ID: ostrik.victor Recent zbMATH articles by "Ostrik, Victor Valentinovich"
Published as: Ostrik, Victor; Ostrik, Viktor; Ostrik, V. V.; Ostrik, V.
External Links: MGP · Math-Net.Ru
Documents Indexed: 51 Publications since 1995, including 1 Book

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 1,703 times in 778 Documents Cited by Year
On fusion categories. Zbl 1125.16025
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
254
2005
Tensor categories. Zbl 1365.18001
Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor
213
2015
Module categories, weak Hopf algebras and modular invariants. Zbl 1044.18004
Ostrik, Viktor
178
2003
On braided fusion categories. I. Zbl 1201.18005
Drinfeld, Vladimir; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor
140
2010
Finite tensor categories. Zbl 1077.18005
Etingof, Pavel; Ostrik, Viktor
113
2004
Fusion categories and homotopy theory. Zbl 1214.18007
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
111
2010
On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories. Zbl 1024.17013
Kirillov, Alexander jun.; Ostrik, Viktor
100
2002
Weakly group-theoretical and solvable fusion categories. Zbl 1210.18009
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Victor
89
2011
The Witt group of non-degenerate braided fusion categories. Zbl 1271.18008
Davydov, Alexei; Müger, Michael; Nikshych, Dmitri; Ostrik, Victor
72
2013
Module categories over the Drinfeld double of a finite group. Zbl 1044.18005
Ostrik, Viktor
68
2003
An analogue of Radford’s \(S^4\) formula for finite tensor categories. Zbl 1079.16024
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
32
2004
On the structure of the Witt group of braided fusion categories. Zbl 1345.18005
Davydov, Alexei; Nikshych, Dmitri; Ostrik, Victor
30
2013
Fusion categories of rank 2. Zbl 1040.18003
Ostrik, Viktor
29
2003
Quiver varieties and Lusztig’s algebra. Zbl 1120.16015
Malkin, Anton; Ostrik, Viktor; Vybornov, Maxim
21
2006
Classification of fusion categories of dimension \(pq\). Zbl 1063.18005
Etingof, Pavel; Gelaki, Shlomo; Ostrik, Viktor
19
2004
On blocks of Deligne’s category \(\underline {\text{Re}}\text p (S_t)\). Zbl 1225.18005
Comes, Jonathan; Ostrik, Victor
18
2011
Module categories over representations of \(\text{SL}_q(2)\) and graphs. Zbl 1053.17010
Etingof, Pavel; Ostrik, Viktor
16
2004
Character \(D\)-modules via Drinfeld center of Harish-Chandra bimodules. Zbl 1267.20058
Bezrukavnikov, Roman; Finkelberg, Michael; Ostrik, Victor
16
2012
On tensor categories attached to cells in affine Weyl groups. II. Zbl 1078.20045
Bezrukavnikov, Roman; Ostrik, Viktor
15
2004
Pivotal fusion categories of rank 3. Zbl 1354.18009
Ostrik, Victor
14
2015
Level-rank duality via tensor categories. Zbl 1371.18006
Ostrik, Victor; Sun, Michael
13
2014
On formal codegrees of fusion categories. Zbl 1204.18003
Ostrik, Victor
13
2009
Cohomology of Spaltenstein varieties. Zbl 1230.14078
Brundan, Jonathan; Ostrik, Victor
12
2011
On the equivariant \(K\)-theory of the nilpotent cone. Zbl 0986.20045
Ostrik, Viktor
12
2000
On tensor categories attached to cells in affine Weyl groups. III. Zbl 1210.20004
Bezrukavnikov, Roman; Finkelberg, Michael; Ostrik, Victor
12
2009
Pre-modular categories of rank 3. Zbl 1161.18003
Ostrik, Victor
11
2008
Tensor ideals in the category of tilting modules. Zbl 0886.17013
Ostrik, V.
9
1997
Support varieties for quantum groups. Zbl 0981.17010
Ostrik, V. V.
9
1998
The minimal degeneration singularities in the affine Grassmannians. Zbl 1078.14016
Malkin, Anton; Ostrik, Viktor; Vybornov, Maxim
8
2005
From double Hecke algebra to Fourier transform. Zbl 1027.22014
Cherednik, Ivan; Ostrik, Viktor
7
2003
On Deligne’s category \(\underline{\mathrm{Rep}}^{\mathrm{ab}}(S_d)\). Zbl 1305.18019
Comes, Jonathan; Ostrik, Victor
6
2014
Module categories over representations of \(\text{SL}_q(2)\) in the non-semisimple case. Zbl 1139.18007
Ostrik, Victor
6
2008
Classification of finite-dimensional irreducible modules over \(W\)-algebras. Zbl 1298.17019
Losev, Ivan; Ostrik, Victor
6
2014
On symmetric fusion categories in positive characteristic. Zbl 1440.18032
Ostrik, Victor
5
2020
On the recognition theorem for Lie algebras of characteristic three. Zbl 0874.17022
Kostrikin, A. I.; Ostrik, V. V.
4
1995
\(p\)-adic dimensions in symmetric tensor categories in characteristic \(p\). Zbl 1390.18016
Etingof, Pavel; Harman, Nate; Ostrik, Victor
4
2018
Computations in symmetric fusion categories in characteristic \(p\). Zbl 1405.18011
Etingof, Pavel; Ostrik, Victor; Venkatesh, Siddharth
4
2017
Decomposition of the adjoint representation of the small quantum \(sl_ 2\). Zbl 0883.16028
Ostrik, V.
3
1997
Calculating canonical distinguished involutions in the affine Weyl groups. Zbl 1027.17006
Chmutova, Tanya; Ostrik, Viktor
3
2002
Multi-fusion categories of Harish-Chandra bimodules. Zbl 1373.17019
Ostrik, Victor
3
2014
A remark on cuspidal local systems. Zbl 1078.20049
Ostrik, Victor
2
2005
Tensor categories attached to exceptional cells in Weyl groups. Zbl 1312.20040
Ostrik, Victor
1
2014
Remarks on global dimensions of fusion categories. Zbl 1423.18023
Ostrik, Victor
1
2019
On the Frobenius functor for symmetric tensor categories in positive characteristic. Zbl 07330974
Etingof, Pavel; Ostrik, Victor
1
2021
On the Frobenius functor for symmetric tensor categories in positive characteristic. Zbl 07330974
Etingof, Pavel; Ostrik, Victor
1
2021
On symmetric fusion categories in positive characteristic. Zbl 1440.18032
Ostrik, Victor
5
2020
Remarks on global dimensions of fusion categories. Zbl 1423.18023
Ostrik, Victor
1
2019
\(p\)-adic dimensions in symmetric tensor categories in characteristic \(p\). Zbl 1390.18016
Etingof, Pavel; Harman, Nate; Ostrik, Victor
4
2018
Computations in symmetric fusion categories in characteristic \(p\). Zbl 1405.18011
Etingof, Pavel; Ostrik, Victor; Venkatesh, Siddharth
4
2017
Tensor categories. Zbl 1365.18001
Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor
213
2015
Pivotal fusion categories of rank 3. Zbl 1354.18009
Ostrik, Victor
14
2015
Level-rank duality via tensor categories. Zbl 1371.18006
Ostrik, Victor; Sun, Michael
13
2014
On Deligne’s category \(\underline{\mathrm{Rep}}^{\mathrm{ab}}(S_d)\). Zbl 1305.18019
Comes, Jonathan; Ostrik, Victor
6
2014
Classification of finite-dimensional irreducible modules over \(W\)-algebras. Zbl 1298.17019
Losev, Ivan; Ostrik, Victor
6
2014
Multi-fusion categories of Harish-Chandra bimodules. Zbl 1373.17019
Ostrik, Victor
3
2014
Tensor categories attached to exceptional cells in Weyl groups. Zbl 1312.20040
Ostrik, Victor
1
2014
The Witt group of non-degenerate braided fusion categories. Zbl 1271.18008
Davydov, Alexei; Müger, Michael; Nikshych, Dmitri; Ostrik, Victor
72
2013
On the structure of the Witt group of braided fusion categories. Zbl 1345.18005
Davydov, Alexei; Nikshych, Dmitri; Ostrik, Victor
30
2013
Character \(D\)-modules via Drinfeld center of Harish-Chandra bimodules. Zbl 1267.20058
Bezrukavnikov, Roman; Finkelberg, Michael; Ostrik, Victor
16
2012
Weakly group-theoretical and solvable fusion categories. Zbl 1210.18009
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Victor
89
2011
On blocks of Deligne’s category \(\underline {\text{Re}}\text p (S_t)\). Zbl 1225.18005
Comes, Jonathan; Ostrik, Victor
18
2011
Cohomology of Spaltenstein varieties. Zbl 1230.14078
Brundan, Jonathan; Ostrik, Victor
12
2011
On braided fusion categories. I. Zbl 1201.18005
Drinfeld, Vladimir; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor
140
2010
Fusion categories and homotopy theory. Zbl 1214.18007
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
111
2010
On formal codegrees of fusion categories. Zbl 1204.18003
Ostrik, Victor
13
2009
On tensor categories attached to cells in affine Weyl groups. III. Zbl 1210.20004
Bezrukavnikov, Roman; Finkelberg, Michael; Ostrik, Victor
12
2009
Pre-modular categories of rank 3. Zbl 1161.18003
Ostrik, Victor
11
2008
Module categories over representations of \(\text{SL}_q(2)\) in the non-semisimple case. Zbl 1139.18007
Ostrik, Victor
6
2008
Quiver varieties and Lusztig’s algebra. Zbl 1120.16015
Malkin, Anton; Ostrik, Viktor; Vybornov, Maxim
21
2006
On fusion categories. Zbl 1125.16025
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
254
2005
The minimal degeneration singularities in the affine Grassmannians. Zbl 1078.14016
Malkin, Anton; Ostrik, Viktor; Vybornov, Maxim
8
2005
A remark on cuspidal local systems. Zbl 1078.20049
Ostrik, Victor
2
2005
Finite tensor categories. Zbl 1077.18005
Etingof, Pavel; Ostrik, Viktor
113
2004
An analogue of Radford’s \(S^4\) formula for finite tensor categories. Zbl 1079.16024
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
32
2004
Classification of fusion categories of dimension \(pq\). Zbl 1063.18005
Etingof, Pavel; Gelaki, Shlomo; Ostrik, Viktor
19
2004
Module categories over representations of \(\text{SL}_q(2)\) and graphs. Zbl 1053.17010
Etingof, Pavel; Ostrik, Viktor
16
2004
On tensor categories attached to cells in affine Weyl groups. II. Zbl 1078.20045
Bezrukavnikov, Roman; Ostrik, Viktor
15
2004
Module categories, weak Hopf algebras and modular invariants. Zbl 1044.18004
Ostrik, Viktor
178
2003
Module categories over the Drinfeld double of a finite group. Zbl 1044.18005
Ostrik, Viktor
68
2003
Fusion categories of rank 2. Zbl 1040.18003
Ostrik, Viktor
29
2003
From double Hecke algebra to Fourier transform. Zbl 1027.22014
Cherednik, Ivan; Ostrik, Viktor
7
2003
On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories. Zbl 1024.17013
Kirillov, Alexander jun.; Ostrik, Viktor
100
2002
Calculating canonical distinguished involutions in the affine Weyl groups. Zbl 1027.17006
Chmutova, Tanya; Ostrik, Viktor
3
2002
On the equivariant \(K\)-theory of the nilpotent cone. Zbl 0986.20045
Ostrik, Viktor
12
2000
Support varieties for quantum groups. Zbl 0981.17010
Ostrik, V. V.
9
1998
Tensor ideals in the category of tilting modules. Zbl 0886.17013
Ostrik, V.
9
1997
Decomposition of the adjoint representation of the small quantum \(sl_ 2\). Zbl 0883.16028
Ostrik, V.
3
1997
On the recognition theorem for Lie algebras of characteristic three. Zbl 0874.17022
Kostrikin, A. I.; Ostrik, V. V.
4
1995
all top 5

Cited by 663 Authors

26 Runkel, Ingo
25 Rowell, Eric C.
25 Schweigert, Christoph
22 Etingof, Pavel Il’ich
21 Natale, Sonia
20 Fuchs, Jürgen
19 Wang, Zhenghan
16 Creutzig, Thomas
16 Kong, Liang
15 Davydov, Alekseĭ Aleksandrovich
15 Dong, Jingcheng
15 Galindo Martínez, César Neyit
15 Nikshych, Dmitri
14 Burciu, Sebastian M.
14 Ng, Siu-Hung
14 Ostrik, Victor Valentinovich
14 Snyder, Noah
13 Gelaki, Shlomo
13 Plavnik, Julia Yael
11 Morrison, Scott
11 Shimizu, Kenichi
9 Andruskiewitsch, Nicolás
9 Bruillard, Paul
9 Coquereaux, Robert
9 Jones, Corey
9 Penneys, David
8 Gainutdinov, Azat M.
8 Mombelli, Martín
8 Schauenburg, Peter
7 Bezrukavnikov, Roman
7 Chirvăsitu, Alexandru
7 Li, Libin
7 Liu, Gongxiang
7 Schaumann, Gregor
7 Zhang, Yinhuo
6 Dai, Li
6 Dong, Chongying
6 Evans, David E.
6 Gannon, Terry
6 Kanade, Shashank
6 Mazorchuk, Volodymyr
6 Naidu, Deepak
6 Negron, Cris
6 Ridout, David
6 Schopieray, Andrew
6 Zheng, Hao
5 Achar, Pramod N.
5 Angiono, Iván Ezequiel
5 Bischoff, Marcel
5 Bulacu, Daniel
5 Cohen, Miriam
5 Edie-Michell, Cain
5 Grossman, Pinhas
5 Gustafson, Paul P.
5 Kawahigashi, Yasuyuki
5 Liu, Zhengwei
5 Losev, Ivan V.
5 Neshveyev, Sergey V.
5 Valentino, Alessandro
5 Walton, Chelsea
5 Wang, Zhihua
5 Westreich, Sara
5 Yang, Yuping
5 Ye, Yu
5 Zhu, Haixing
4 Aizenbud, Inna Entova
4 Auger, Jean-Claude
4 Barter, Daniel
4 Bichon, Julien
4 Carqueville, Nils
4 Chen, Xiaowu
4 Comes, Jonathan
4 Deshpande, Tanmay
4 Femić, Bojana
4 Finkelberg, Michael Vladlenovich
4 Giorgetti, Luca
4 Hsin, Po-Shen
4 Huang, Hua-Lin
4 Huang, Yi-Zhi
4 Jordan, David Andrew
4 Kadison, Lars
4 Lin, Xingjun
4 Linshaw, Andrew Ross
4 Lusztig, George
4 Mackaay, Marco
4 Meir, Ehud
4 Müger, Michael
4 Peters, Emily
4 Rehren, Karl-Henning
4 Torrecillas Jover, Blas
4 Virelizier, Alexis
4 Webster, Ben
4 Williamson, Geordie
4 Yu, Zhiqiang
3 Bartlett, Bruce
3 Beliakova, Anna
3 Boyarchenko, Mitya
3 Bruguières, Alain
3 Brundan, Jonathan
3 Chen, Jianmin
...and 563 more Authors
all top 5

Cited in 109 Serials

107 Journal of Algebra
73 Communications in Mathematical Physics
61 Advances in Mathematics
39 Journal of Pure and Applied Algebra
30 Journal of High Energy Physics
25 Algebras and Representation Theory
24 Communications in Algebra
24 Selecta Mathematica. New Series
16 Journal of Mathematical Physics
16 Transactions of the American Mathematical Society
16 International Journal of Mathematics
15 Representation Theory
14 Nuclear Physics. B
12 Applied Categorical Structures
11 Transformation Groups
10 Mathematische Zeitschrift
10 Proceedings of the American Mathematical Society
9 Compositio Mathematica
9 Communications in Contemporary Mathematics
8 Israel Journal of Mathematics
8 Letters in Mathematical Physics
8 Journal of Geometry and Physics
8 Inventiones Mathematicae
8 Journal of Algebra and its Applications
8 Quantum Topology
7 Duke Mathematical Journal
7 Journal of the American Mathematical Society
7 Theory and Applications of Categories
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Journal of Noncommutative Geometry
5 Annales de l’Institut Fourier
5 Glasgow Mathematical Journal
5 Journal für die Reine und Angewandte Mathematik
5 Pacific Journal of Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Knot Theory and its Ramifications
4 Journal of Functional Analysis
4 Monatshefte für Mathematik
4 Journal of Algebraic Combinatorics
4 Journal of Mathematical Sciences (New York)
4 Algebraic & Geometric Topology
4 Frontiers of Mathematics in China
3 Reviews in Mathematical Physics
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Indiana University Mathematics Journal
3 New Journal of Physics
3 Acta Mathematica Sinica. English Series
3 Algebra & Number Theory
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Bulletin of the London Mathematical Society
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Linear Algebra and its Applications
2 Experimental Mathematics
2 Geometry & Topology
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Science China. Mathematics
2 Journal of Combinatorial Algebra
1 Periodica Mathematica Hungarica
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Functional Analysis and its Applications
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Nagoya Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tohoku Mathematical Journal. Second Series
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Algebra Colloquium
1 Annales Mathématiques Blaise Pascal
1 The Electronic Journal of Combinatorics
1 The New York Journal of Mathematics
1 Journal of Lie Theory
1 Documenta Mathematica
1 Journal of Group Theory
1 Annales Henri Poincaré
1 Journal of Nonlinear Mathematical Physics
1 Central European Journal of Mathematics
1 Quantum Information Processing
1 Journal of the Institute of Mathematics of Jussieu
1 International Journal of Number Theory
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Mathematics in Computer Science
1 Journal of Homotopy and Related Structures
1 International Electronic Journal of Algebra (IEJA)
1 São Paulo Journal of Mathematical Sciences
...and 9 more Serials
all top 5

Cited in 37 Fields

407 Category theory; homological algebra (18-XX)
322 Associative rings and algebras (16-XX)
207 Nonassociative rings and algebras (17-XX)
192 Quantum theory (81-XX)
176 Group theory and generalizations (20-XX)
84 Functional analysis (46-XX)
72 Algebraic geometry (14-XX)
54 Manifolds and cell complexes (57-XX)
33 \(K\)-theory (19-XX)
24 Global analysis, analysis on manifolds (58-XX)
18 Combinatorics (05-XX)
17 Commutative algebra (13-XX)
15 Topological groups, Lie groups (22-XX)
14 Number theory (11-XX)
14 Differential geometry (53-XX)
13 Relativity and gravitational theory (83-XX)
11 Algebraic topology (55-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
6 Special functions (33-XX)
3 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Operator theory (47-XX)
2 Computer science (68-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Functions of a complex variable (30-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Approximations and expansions (41-XX)
1 Convex and discrete geometry (52-XX)
1 Probability theory and stochastic processes (60-XX)
1 Numerical analysis (65-XX)

Citations by Year