Lyubashenko, Volodymyr V.

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 Author ID: lyubashenko.volodymyr-v Published as: Lyubashenko, Volodymyr; Lyubashenko, V. V.; Lyubashenko, V.; Lyubashenko, Volodimir; Lyubashenko, Volodymyr V.; Lyubashenko, Vladimir
 Documents Indexed: 56 Publications since 1984, including 3 Books Co-Authors: 70 Co-Authors with 20 Joint Publications 2,011 Co-Co-Authors
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Co-Authors

 35 single-authored 6 Manzyuk, Oleksandr 4 Ovsienko, Sergei A. 3 Bezushchak, Oksana O. 3 Drozd, Yuriĭ Anatoliĭovych 3 Kurdachenko, Leonid Andriĭovych 3 Petravchuk, Anatolii P. 3 Sushchans’kyĭ, Vitaliĭ Ivanovych 2 Bespalov, Yuri N. 2 Bondarenko, Vitalij M. 2 Kerler, Thomas 2 Kyrychenko, Volodymyr Vasyl’ovych 2 Lavrenyuk, Yaroslav V. 2 Lyman, Fedir Mykolaĭovych 2 Nekrashevych, Volodymyr V. 2 Novikov, Boris V. 2 Oliynyk, A. S. 2 Semko, M. M. 2 Subbotin, Igor Yakov 2 Sudbery, Anthony 2 Zel’manov, Efim Isaakovich 1 Andriĭchuk, Vasyl’ Ivanovych 1 Artamonov, Vyacheslav Aleksandrovich 1 Babych, V”yacheslav Mykhaĭlovych 1 Belopol’skaya, Yana Isaevna 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Bodnarchuk, Yuriĭ Viktorovych 1 Bogdansky, Yu. V. 1 Bondarenko, Ye. V. 1 Chernikov, Mykola Sergiĭovych 1 De Concini, Corrado 1 Dokuchaev, Mikhailo 1 Futorny, Vyacheslav M. 1 Ganiushkin, O. G. 1 Golovashchuk, Nataliya S. 1 Gorodnii, M. F. 1 Grigorchuk, Rostislav Ivanovich 1 Gubareni, Nadiya M. 1 Gudivok, P. M. 1 Kashu, Alekseĭ Ivanovich 1 Khesin, Boris A. 1 Kolyada, Sergiǐ Fedorovych 1 Komarnytsky, M. Ya. 1 Komarnytskyy, Mykola Ya. 1 Majid, Shahn 1 Mazorchuk, Volodymyr 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Monakhov, Viktor Stepanovich 1 Oliynyk, B. V. 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Perestyuk, Mykola Oleksiĭovych 1 Petrichkovich, Vasil’ Mikhaĭlovich 1 Plakhotnyk, V. V. 1 Reznikov, Alexander G. 1 Roger, Claude 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Sel’kin, M. V. 1 Semenchuk, Vladimir N. 1 Sergeichuk, Vladimir Vasil’evich 1 Sharko, Volodymyr Vasil’ovych 1 Shemetkov, Leonid Alexandrovich 1 Shestakov, Ivan Pavlovich 1 Skiba, Alexander Nikolaevich 1 Sysak, Yaroslav P. 1 Turaev, Vladimir Georgievich 1 Varbanets, Pavel 1 Vasil’ev, Aleksandr Fëdorovich 1 Vorob’ev, Nikolaĭ Timofeevich 1 Zhuchok, Anatolii V. 1 Zhuchok, Yurii V. 1 Zhuravlev, Viktor N.
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Serials

 5 Theory and Applications of Categories 4 Algebra and Discrete Mathematics 3 Journal of Pure and Applied Algebra 3 Applied Categorical Structures 3 Matematychni Studiï 3 Homology, Homotopy and Applications 2 Ukrainian Mathematical Journal 2 Journal of Algebra 2 Methods of Functional Analysis and Topology 2 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 2 Naukovi Zapysky (Kyïv) 1 Communications in Mathematical Physics 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Journal of Knot Theory and its Ramifications 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Lecture Notes in Mathematics 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 1 Proceedings of the International Geometry Center
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Fields

 42 Category theory; homological algebra (18-XX) 21 Associative rings and algebras (16-XX) 13 Nonassociative rings and algebras (17-XX) 10 Manifolds and cell complexes (57-XX) 7 Algebraic topology (55-XX) 6 Quantum theory (81-XX) 5 Algebraic geometry (14-XX) 4 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

31 Publications have been cited 477 times in 327 Documents Cited by Year
Modular transformations for tensor categories. Zbl 0823.18003
Lyubashenko, V.
1995
Quantum function algebra at roots of 1. Zbl 0846.17008
1994
Non-semisimple topological quantum field theories for 3-manifolds with corners. Zbl 0982.57013
Kerler, Thomas; Lyubashenko, V. V.
2001
Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity. Zbl 0844.57016
Lyubashenko, Volodymyr V.
1995
Braided groups and quantum Fourier transform. Zbl 0810.17006
Lyubashenko, Volodimir; Majid, Shahn
1994
Hopf algebras and vector symmetries. Zbl 0649.16008
Lyubashenko, V. V.
1986
Integrals for braided Hopf algebras. Zbl 0961.16023
Bespalov, Yuri; Kerler, Thomas; Lyubashenko, Volodymyr; Turaev, Vladimir
2000
Extensions and contractions of the Lie algebra of $$q$$-pseudodifferential symbols on the circle. Zbl 0872.35138
Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude
1997
Tangles and Hopf algebras in braided categories. Zbl 0823.18002
Lyubashenko, Volodimir
1995
Category of $$A_\infty$$-categories. Zbl 1026.18003
Lyubashenko, Volodymyr
2003
Ribbon abelian categories as modular categories. Zbl 0936.18011
Lyubashenko, V.
1996
Quantum supergroups of $$\text{GL}(n| m)$$ type: Differential forms, Koszul complexes, and Berezinians. Zbl 0905.16018
Lyubashenko, Volodymyr; Sudbery, Anthony
1997
Homotopy unital $$A_\infty$$-algebras. Zbl 1227.18008
Lyubashenko, Volodymyr
2011
Generalized Lie algebras of type $$A_n$$. Zbl 1043.17508
Lyubashenko, Volodymyr; Sudbery, Anthony
1998
A construction of quotient $$A_\infty$$-categories. Zbl 1134.18002
Lyubashenko, Volodymyr; Ovsienko, Sergiy
2006
Squared Hopf algebras. Zbl 1230.18001
Lyubashenko, Volodymyr V.
1999
$$A_{\infty}$$-bimodules and Serre $$A_\infty$$-functors. Zbl 1148.18003
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2008
Quotients of unital $$A_\infty$$-categories. Zbl 1153.18009
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2008
Pretriangulated $$A_\infty$$-categories. Zbl 1199.18001
Bespalov, Yu.; Lyubashenko, V.; Manzyuk, O.
2008
Real and imaginary forms of quantum groups. Zbl 0755.17011
1992
Exterior tensor product of perverse sheaves. Zbl 0996.14008
Lyubashenko, V. V.
2001
Free $$A_\infty$$-categories. Zbl 1118.18006
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2006
Unital $$A_{\infty}$$-categories. Zbl 1199.18010
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2006
$$A_\infty$$-algebras, $$A_\infty$$-categories and $$A_\infty$$-functors. Zbl 1213.18005
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2008
$$A_\infty$$-morphisms with several entries. Zbl 1348.18013
Lyubashenko, Volodymyr
2015
Modular properties of ribbon abelian categories. Zbl 0851.18004
Lyubashenko, Volodimir
1995
The Berezinian in some monoidal categories. Zbl 0616.18006
Lyubashenko, V. V.
1986
Bar and cobar constructions for curved algebras and coalgebras. Zbl 1312.16006
Lyubashenko, V. V.
2013
Tensor products of categories of equivariant perverse sheaves. Zbl 1062.14024
Lyubashenko, Volodymyr
2002
Lyubashenko, V. V.
2015
Category of $$A_{\infty}$$-categories and derived categories. Zbl 1067.55500
Lyubashenko, V. V.; Ovsienko, S. A.
2003
$$A_\infty$$-morphisms with several entries. Zbl 1348.18013
Lyubashenko, Volodymyr
2015
Lyubashenko, V. V.
2015
Bar and cobar constructions for curved algebras and coalgebras. Zbl 1312.16006
Lyubashenko, V. V.
2013
Homotopy unital $$A_\infty$$-algebras. Zbl 1227.18008
Lyubashenko, Volodymyr
2011
$$A_{\infty}$$-bimodules and Serre $$A_\infty$$-functors. Zbl 1148.18003
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2008
Quotients of unital $$A_\infty$$-categories. Zbl 1153.18009
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2008
Pretriangulated $$A_\infty$$-categories. Zbl 1199.18001
Bespalov, Yu.; Lyubashenko, V.; Manzyuk, O.
2008
$$A_\infty$$-algebras, $$A_\infty$$-categories and $$A_\infty$$-functors. Zbl 1213.18005
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2008
A construction of quotient $$A_\infty$$-categories. Zbl 1134.18002
Lyubashenko, Volodymyr; Ovsienko, Sergiy
2006
Free $$A_\infty$$-categories. Zbl 1118.18006
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2006
Unital $$A_{\infty}$$-categories. Zbl 1199.18010
Lyubashenko, Volodymyr; Manzyuk, Oleksandr
2006
Category of $$A_\infty$$-categories. Zbl 1026.18003
Lyubashenko, Volodymyr
2003
Category of $$A_{\infty}$$-categories and derived categories. Zbl 1067.55500
Lyubashenko, V. V.; Ovsienko, S. A.
2003
Tensor products of categories of equivariant perverse sheaves. Zbl 1062.14024
Lyubashenko, Volodymyr
2002
Non-semisimple topological quantum field theories for 3-manifolds with corners. Zbl 0982.57013
Kerler, Thomas; Lyubashenko, V. V.
2001
Exterior tensor product of perverse sheaves. Zbl 0996.14008
Lyubashenko, V. V.
2001
Integrals for braided Hopf algebras. Zbl 0961.16023
Bespalov, Yuri; Kerler, Thomas; Lyubashenko, Volodymyr; Turaev, Vladimir
2000
Squared Hopf algebras. Zbl 1230.18001
Lyubashenko, Volodymyr V.
1999
Generalized Lie algebras of type $$A_n$$. Zbl 1043.17508
Lyubashenko, Volodymyr; Sudbery, Anthony
1998
Extensions and contractions of the Lie algebra of $$q$$-pseudodifferential symbols on the circle. Zbl 0872.35138
Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude
1997
Quantum supergroups of $$\text{GL}(n| m)$$ type: Differential forms, Koszul complexes, and Berezinians. Zbl 0905.16018
Lyubashenko, Volodymyr; Sudbery, Anthony
1997
Ribbon abelian categories as modular categories. Zbl 0936.18011
Lyubashenko, V.
1996
Modular transformations for tensor categories. Zbl 0823.18003
Lyubashenko, V.
1995
Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity. Zbl 0844.57016
Lyubashenko, Volodymyr V.
1995
Tangles and Hopf algebras in braided categories. Zbl 0823.18002
Lyubashenko, Volodimir
1995
Modular properties of ribbon abelian categories. Zbl 0851.18004
Lyubashenko, Volodimir
1995
Quantum function algebra at roots of 1. Zbl 0846.17008
1994
Braided groups and quantum Fourier transform. Zbl 0810.17006
Lyubashenko, Volodimir; Majid, Shahn
1994
Real and imaginary forms of quantum groups. Zbl 0755.17011
1992
Hopf algebras and vector symmetries. Zbl 0649.16008
Lyubashenko, V. V.
1986
The Berezinian in some monoidal categories. Zbl 0616.18006
Lyubashenko, V. V.
1986
all top 5

Cited by 346 Authors

 13 Gainutdinov, Azat M. 13 Schweigert, Christoph 12 Fuchs, Jürgen 11 Runkel, Ingo 10 Majid, Shahn 9 Gurevich, Dmitrii 9 Lyubashenko, Volodymyr V. 6 Saponov, Pavel A. 6 Semikhatov, Alexei M. 6 Shimizu, Kenichi 5 Bruguières, Alain 5 Jakobsen, Hans Plesner 5 Lentner, Simon D. 5 Phùng Hô‘ Hài 5 Virelizier, Alexis 4 Andruskiewitsch, Nicolás 4 Cohen, Miriam 4 De Renzi, Marco 4 Feĭgin, Boris L’vovich 4 García, Gastón Andrés 4 Gavarini, Fabio 4 Geer, Nathan 4 Muro, Fernando 4 Poletaeva, Elena 4 Schaumann, Gregor 4 Sommerhäuser, Yorck 4 Tanisaki, Toshiyuki 4 Tipunin, Ilya Yu. 4 Westreich, Sara 4 Zhang, Hechun 3 Akueson, P. 3 Alonso Álvarez, José Nicanor 3 Bespalov, Yuri N. 3 Blanchet, Christian 3 Costantini, Mauro 3 Drabant, Bernhard 3 Fernández Vilaboa, José Manuel 3 González Rodríguez, Ramón 3 Goodearl, Kenneth R. 3 Gordon, Iain Grant 3 Guccione, Jorge Alberto 3 Guccione, Juan José 3 Hayashi, Takahiro 3 Jordan, David Andrew 3 Kim, Minkyu 3 Lachowska, Anna 3 Larsson, Daniel 3 Patureau-Mirand, Bertrand 3 Silindir, Burcu 3 Silvestrov, Sergei D. 3 Varagnolo, Michela 2 Arkhipov, Sergey M. 2 Backelin, Erik 2 Baez, John C. 2 Beliakova, Anna 2 Błaszak, Maciej 2 Bobtcheva, Ivelina 2 Brown, Kenneth Alexander 2 Bulacu, Daniel 2 Chang, Liang 2 Chin, William 2 Chirvăsitu, Alexandru 2 Creutzig, Thomas 2 De Deken, Olivier 2 Dunn, Lawrence 2 Faitg, Matthieu 2 Farsad, V. 2 Gannon, Terry 2 Gukov, Sergei 2 Gürses, Metin 2 Haugseng, Rune 2 He, Jingsong 2 Kremnizer, Kobi 2 López López, M. Purificación 2 Lowen, Wendy 2 Negron, Cris 2 Panero, Piergiorgio 2 Podleś, Piotr 2 Rakić, Zoran 2 Reyes, Enrique G. 2 Sawin, Stephen F. 2 Schommer-Pries, Christopher J. 2 Shoikhet, Boris B. 2 Stigner, Carl 2 Su, Yucai 2 Szablikowski, Błażej M. 2 Takeuchi, Mitsuhiro 2 Tian, Kelei 2 Vasserot, Eric 2 Vicary, Jamie 2 Villanueva Novoa, Emilio 2 Yang, Shilin 2 Yetter, David N. 1 Abella, Andres 1 Abłamowicz, Rafał 1 Abouzaid, Mohammed 1 Alekseev, Anton Yu. 1 Angiono, Iván Ezequiel 1 Ardizzoni, Alessandro 1 Asaeda, Marta M. ...and 246 more Authors
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Cited in 76 Serials

 52 Journal of Algebra 27 Advances in Mathematics 27 Journal of Pure and Applied Algebra 15 Communications in Algebra 15 Journal of Mathematical Physics 10 Communications in Mathematical Physics 9 Journal of Geometry and Physics 9 Algebraic & Geometric Topology 8 Transactions of the American Mathematical Society 7 Applied Categorical Structures 7 Algebras and Representation Theory 6 Theoretical and Mathematical Physics 5 Journal of the American Mathematical Society 5 Journal of Knot Theory and its Ramifications 5 Selecta Mathematica. New Series 4 Nuclear Physics. B 4 Theory and Applications of Categories 4 Transformation Groups 4 Journal of Nonlinear Mathematical Physics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Israel Journal of Mathematics 3 Letters in Mathematical Physics 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Proceedings of the American Mathematical Society 3 International Journal of Mathematics 3 St. Petersburg Mathematical Journal 3 Journal of High Energy Physics 3 Journal of Homotopy and Related Structures 3 Quantum Topology 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annales de l’Institut Fourier 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Representation Theory 2 Communications in Contemporary Mathematics 2 Journal of $$K$$-Theory 2 European Journal of Mathematics 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computer Physics Communications 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Monatshefte für Mathematik 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Documenta Mathematica 1 Geometry & Topology 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Frontiers of Mathematics in China 1 Logical Methods in Computer Science 1 Communications in Theoretical Physics 1 Japanese Journal of Mathematics. 3rd Series 1 Advances in Mathematical Physics 1 Bulletin of Mathematical Sciences
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Cited in 31 Fields

 176 Associative rings and algebras (16-XX) 141 Nonassociative rings and algebras (17-XX) 130 Category theory; homological algebra (18-XX) 96 Quantum theory (81-XX) 49 Manifolds and cell complexes (57-XX) 42 Group theory and generalizations (20-XX) 25 Algebraic geometry (14-XX) 22 Global analysis, analysis on manifolds (58-XX) 19 Algebraic topology (55-XX) 17 Differential geometry (53-XX) 13 Functional analysis (46-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 6 Combinatorics (05-XX) 6 Topological groups, Lie groups (22-XX) 4 Mathematical logic and foundations (03-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 3 Number theory (11-XX) 3 $$K$$-theory (19-XX) 3 Special functions (33-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)