Edit Profile (opens in new tab) Lyubashenko, Volodymyr V. Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 477 times in 327 Documents Cited by ▼ Year ▼ Modular transformations for tensor categories. Zbl 0823.18003Lyubashenko, V. 61 1995 Quantum function algebra at roots of 1. Zbl 0846.17008De Concini, Corrado; Lyubashenko, Volodimir 56 1994 Non-semisimple topological quantum field theories for 3-manifolds with corners. Zbl 0982.57013Kerler, Thomas; Lyubashenko, V. V. 53 2001 Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity. Zbl 0844.57016Lyubashenko, Volodymyr V. 45 1995 Braided groups and quantum Fourier transform. Zbl 0810.17006Lyubashenko, Volodimir; Majid, Shahn 37 1994 Hopf algebras and vector symmetries. Zbl 0649.16008Lyubashenko, V. V. 30 1986 Integrals for braided Hopf algebras. Zbl 0961.16023Bespalov, Yuri; Kerler, Thomas; Lyubashenko, Volodymyr; Turaev, Vladimir 23 2000 Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle. Zbl 0872.35138Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude 22 1997 Tangles and Hopf algebras in braided categories. Zbl 0823.18002Lyubashenko, Volodimir 22 1995 Category of \(A_\infty\)-categories. Zbl 1026.18003Lyubashenko, Volodymyr 19 2003 Ribbon abelian categories as modular categories. Zbl 0936.18011Lyubashenko, V. 17 1996 Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians. Zbl 0905.16018Lyubashenko, Volodymyr; Sudbery, Anthony 15 1997 Homotopy unital \(A_\infty\)-algebras. Zbl 1227.18008Lyubashenko, Volodymyr 13 2011 Generalized Lie algebras of type \(A_n\). Zbl 1043.17508Lyubashenko, Volodymyr; Sudbery, Anthony 9 1998 A construction of quotient \(A_\infty\)-categories. Zbl 1134.18002Lyubashenko, Volodymyr; Ovsienko, Sergiy 7 2006 Squared Hopf algebras. Zbl 1230.18001Lyubashenko, Volodymyr V. 6 1999 \(A_{\infty}\)-bimodules and Serre \(A_\infty\)-functors. Zbl 1148.18003Lyubashenko, Volodymyr; Manzyuk, Oleksandr 5 2008 Quotients of unital \(A_\infty\)-categories. Zbl 1153.18009Lyubashenko, Volodymyr; Manzyuk, Oleksandr 5 2008 Pretriangulated \(A_\infty\)-categories. Zbl 1199.18001Bespalov, Yu.; Lyubashenko, V.; Manzyuk, O. 5 2008 Real and imaginary forms of quantum groups. Zbl 0755.17011Lyubashenko, Vladimir 3 1992 Exterior tensor product of perverse sheaves. Zbl 0996.14008Lyubashenko, V. V. 3 2001 Free \(A_\infty\)-categories. Zbl 1118.18006Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2006 Unital \(A_{\infty}\)-categories. Zbl 1199.18010Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2006 \(A_\infty\)-algebras, \(A_\infty\)-categories and \(A_\infty\)-functors. Zbl 1213.18005Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2008 \(A_\infty\)-morphisms with several entries. Zbl 1348.18013Lyubashenko, Volodymyr 3 2015 Modular properties of ribbon abelian categories. Zbl 0851.18004Lyubashenko, Volodimir 2 1995 The Berezinian in some monoidal categories. Zbl 0616.18006Lyubashenko, V. V. 2 1986 Bar and cobar constructions for curved algebras and coalgebras. Zbl 1312.16006Lyubashenko, V. V. 2 2013 Tensor products of categories of equivariant perverse sheaves. Zbl 1062.14024Lyubashenko, Volodymyr 1 2002 Homotopy cooperads. Zbl 1437.18013Lyubashenko, V. V. 1 2015 Category of \(A_{\infty}\)-categories and derived categories. Zbl 1067.55500Lyubashenko, V. V.; Ovsienko, S. A. 1 2003 \(A_\infty\)-morphisms with several entries. Zbl 1348.18013Lyubashenko, Volodymyr 3 2015 Homotopy cooperads. Zbl 1437.18013Lyubashenko, V. V. 1 2015 Bar and cobar constructions for curved algebras and coalgebras. Zbl 1312.16006Lyubashenko, V. V. 2 2013 Homotopy unital \(A_\infty\)-algebras. Zbl 1227.18008Lyubashenko, Volodymyr 13 2011 \(A_{\infty}\)-bimodules and Serre \(A_\infty\)-functors. Zbl 1148.18003Lyubashenko, Volodymyr; Manzyuk, Oleksandr 5 2008 Quotients of unital \(A_\infty\)-categories. Zbl 1153.18009Lyubashenko, Volodymyr; Manzyuk, Oleksandr 5 2008 Pretriangulated \(A_\infty\)-categories. Zbl 1199.18001Bespalov, Yu.; Lyubashenko, V.; Manzyuk, O. 5 2008 \(A_\infty\)-algebras, \(A_\infty\)-categories and \(A_\infty\)-functors. Zbl 1213.18005Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2008 A construction of quotient \(A_\infty\)-categories. Zbl 1134.18002Lyubashenko, Volodymyr; Ovsienko, Sergiy 7 2006 Free \(A_\infty\)-categories. Zbl 1118.18006Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2006 Unital \(A_{\infty}\)-categories. Zbl 1199.18010Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2006 Category of \(A_\infty\)-categories. Zbl 1026.18003Lyubashenko, Volodymyr 19 2003 Category of \(A_{\infty}\)-categories and derived categories. Zbl 1067.55500Lyubashenko, V. V.; Ovsienko, S. A. 1 2003 Tensor products of categories of equivariant perverse sheaves. Zbl 1062.14024Lyubashenko, Volodymyr 1 2002 Non-semisimple topological quantum field theories for 3-manifolds with corners. Zbl 0982.57013Kerler, Thomas; Lyubashenko, V. V. 53 2001 Exterior tensor product of perverse sheaves. Zbl 0996.14008Lyubashenko, V. V. 3 2001 Integrals for braided Hopf algebras. Zbl 0961.16023Bespalov, Yuri; Kerler, Thomas; Lyubashenko, Volodymyr; Turaev, Vladimir 23 2000 Squared Hopf algebras. Zbl 1230.18001Lyubashenko, Volodymyr V. 6 1999 Generalized Lie algebras of type \(A_n\). Zbl 1043.17508Lyubashenko, Volodymyr; Sudbery, Anthony 9 1998 Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle. Zbl 0872.35138Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude 22 1997 Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians. Zbl 0905.16018Lyubashenko, Volodymyr; Sudbery, Anthony 15 1997 Ribbon abelian categories as modular categories. Zbl 0936.18011Lyubashenko, V. 17 1996 Modular transformations for tensor categories. Zbl 0823.18003Lyubashenko, V. 61 1995 Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity. Zbl 0844.57016Lyubashenko, Volodymyr V. 45 1995 Tangles and Hopf algebras in braided categories. Zbl 0823.18002Lyubashenko, Volodimir 22 1995 Modular properties of ribbon abelian categories. Zbl 0851.18004Lyubashenko, Volodimir 2 1995 Quantum function algebra at roots of 1. Zbl 0846.17008De Concini, Corrado; Lyubashenko, Volodimir 56 1994 Braided groups and quantum Fourier transform. Zbl 0810.17006Lyubashenko, Volodimir; Majid, Shahn 37 1994 Real and imaginary forms of quantum groups. Zbl 0755.17011Lyubashenko, Vladimir 3 1992 Hopf algebras and vector symmetries. Zbl 0649.16008Lyubashenko, V. V. 30 1986 The Berezinian in some monoidal categories. Zbl 0616.18006Lyubashenko, V. V. 2 1986 all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year