Edit Profile (opens in new tab) Lyubashenko, Volodymyr V. Co-Author Distance Author ID: lyubashenko.volodymyr-v Published as: Lyubashenko, Volodymyr; Lyubashenko, V. V.; Lyubashenko, V.; Lyubashenko, Volodimir; Lyubashenko, Volodymyr V.; Lyubashenko, Vladimir more...less Documents Indexed: 60 Publications since 1984, including 3 Books and 4 Additional arXiv Preprints Co-Authors: 70 Co-Authors with 21 Joint Publications 2,213 Co-Co-Authors all top 5 Co-Authors 38 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 Sudbery, Anthony 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, Nikolaj N. 2 Subbotin, Igor Yakov 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 Aleksandrovich 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 44 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 32 Publications have been cited 585 times in 389 Documents Cited by ▼ Year ▼ Modular transformations for tensor categories. Zbl 0823.18003 Lyubashenko, V. 76 1995 Non-semisimple topological quantum field theories for 3-manifolds with corners. Zbl 0982.57013 Kerler, Thomas; Lyubashenko, V. V. 72 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. 63 1995 Quantum function algebra at roots of 1. Zbl 0846.17008 De Concini, Corrado; Lyubashenko, Volodimir 62 1994 Braided groups and quantum Fourier transform. Zbl 0810.17006 Lyubashenko, Volodimir; Majid, Shahn 44 1994 Hopf algebras and vector symmetries. Zbl 0649.16008 Lyubashenko, V. V. 33 1986 Integrals for braided Hopf algebras. Zbl 0961.16023 Bespalov, Yuri; Kerler, Thomas; Lyubashenko, Volodymyr; Turaev, Vladimir 28 2000 Tangles and Hopf algebras in braided categories. Zbl 0823.18002 Lyubashenko, Volodimir 23 1995 Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle. Zbl 0872.35138 Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude 23 1997 Category of \(A_\infty\)-categories. Zbl 1026.18003 Lyubashenko, Volodymyr 23 2003 Ribbon abelian categories as modular categories. Zbl 0936.18011 Lyubashenko, V. 21 1996 Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians. Zbl 0905.16018 Lyubashenko, Volodymyr; Sudbery, Anthony 16 1997 Homotopy unital \(A_\infty\)-algebras. Zbl 1227.18008 Lyubashenko, Volodymyr 15 2011 A construction of quotient \(A_\infty\)-categories. Zbl 1134.18002 Lyubashenko, Volodymyr; Ovsienko, Sergiy 14 2006 Generalized Lie algebras of type \(A_n\). Zbl 1043.17508 Lyubashenko, Volodymyr; Sudbery, Anthony 10 1998 Squared Hopf algebras. Zbl 1230.18001 Lyubashenko, Volodymyr V. 8 1999 Quotients of unital \(A_\infty\)-categories. Zbl 1153.18009 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 8 2008 Pretriangulated \(A_\infty\)-categories. Zbl 1199.18001 Bespalov, Yu.; Lyubashenko, V.; Manzyuk, O. 7 2008 \(A_{\infty}\)-bimodules and Serre \(A_\infty\)-functors. Zbl 1148.18003 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 6 2008 Modular properties of ribbon abelian categories. Zbl 0851.18004 Lyubashenko, Volodimir 4 1995 Exterior tensor product of perverse sheaves. Zbl 0996.14008 Lyubashenko, V. V. 4 2001 Unital \(A_{\infty}\)-categories. Zbl 1199.18010 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 4 2006 \(A_\infty\)-morphisms with several entries. Zbl 1348.18013 Lyubashenko, Volodymyr 4 2015 Free \(A_\infty\)-categories. Zbl 1118.18006 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2006 Real and imaginary forms of quantum groups. Zbl 0755.17011 Lyubashenko, Vladimir 3 1992 \(A_\infty\)-algebras, \(A_\infty\)-categories and \(A_\infty\)-functors. Zbl 1213.18005 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2008 The Berezinian in some monoidal categories. Zbl 0616.18006 Lyubashenko, V. V. 2 1986 Bar and cobar constructions for curved algebras and coalgebras. Zbl 1312.16006 Lyubashenko, V. V. 2 2013 Category of \(A_{\infty}\)-categories and derived categories. Zbl 1067.55500 Lyubashenko, V. V.; Ovsienko, S. A. 1 2003 Curved homotopy coalgebras. Zbl 1388.16034 Lyubashenko, Volodymyr 1 2017 Tensor products of categories of equivariant perverse sheaves. Zbl 1062.14024 Lyubashenko, Volodymyr 1 2002 Homotopy cooperads. Zbl 1437.18013 Lyubashenko, V. V. 1 2015 Curved homotopy coalgebras. Zbl 1388.16034 Lyubashenko, Volodymyr 1 2017 \(A_\infty\)-morphisms with several entries. Zbl 1348.18013 Lyubashenko, Volodymyr 4 2015 Homotopy cooperads. Zbl 1437.18013 Lyubashenko, V. V. 1 2015 Bar and cobar constructions for curved algebras and coalgebras. Zbl 1312.16006 Lyubashenko, V. V. 2 2013 Homotopy unital \(A_\infty\)-algebras. Zbl 1227.18008 Lyubashenko, Volodymyr 15 2011 Quotients of unital \(A_\infty\)-categories. Zbl 1153.18009 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 8 2008 Pretriangulated \(A_\infty\)-categories. Zbl 1199.18001 Bespalov, Yu.; Lyubashenko, V.; Manzyuk, O. 7 2008 \(A_{\infty}\)-bimodules and Serre \(A_\infty\)-functors. Zbl 1148.18003 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 6 2008 \(A_\infty\)-algebras, \(A_\infty\)-categories and \(A_\infty\)-functors. Zbl 1213.18005 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2008 A construction of quotient \(A_\infty\)-categories. Zbl 1134.18002 Lyubashenko, Volodymyr; Ovsienko, Sergiy 14 2006 Unital \(A_{\infty}\)-categories. Zbl 1199.18010 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 4 2006 Free \(A_\infty\)-categories. Zbl 1118.18006 Lyubashenko, Volodymyr; Manzyuk, Oleksandr 3 2006 Category of \(A_\infty\)-categories. Zbl 1026.18003 Lyubashenko, Volodymyr 23 2003 Category of \(A_{\infty}\)-categories and derived categories. Zbl 1067.55500 Lyubashenko, V. V.; Ovsienko, S. A. 1 2003 Tensor products of categories of equivariant perverse sheaves. Zbl 1062.14024 Lyubashenko, Volodymyr 1 2002 Non-semisimple topological quantum field theories for 3-manifolds with corners. Zbl 0982.57013 Kerler, Thomas; Lyubashenko, V. V. 72 2001 Exterior tensor product of perverse sheaves. Zbl 0996.14008 Lyubashenko, V. V. 4 2001 Integrals for braided Hopf algebras. Zbl 0961.16023 Bespalov, Yuri; Kerler, Thomas; Lyubashenko, Volodymyr; Turaev, Vladimir 28 2000 Squared Hopf algebras. Zbl 1230.18001 Lyubashenko, Volodymyr V. 8 1999 Generalized Lie algebras of type \(A_n\). Zbl 1043.17508 Lyubashenko, Volodymyr; Sudbery, Anthony 10 1998 Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle. Zbl 0872.35138 Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude 23 1997 Quantum supergroups of \(\text{GL}(n| m)\) type: Differential forms, Koszul complexes, and Berezinians. Zbl 0905.16018 Lyubashenko, Volodymyr; Sudbery, Anthony 16 1997 Ribbon abelian categories as modular categories. Zbl 0936.18011 Lyubashenko, V. 21 1996 Modular transformations for tensor categories. Zbl 0823.18003 Lyubashenko, V. 76 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. 63 1995 Tangles and Hopf algebras in braided categories. Zbl 0823.18002 Lyubashenko, Volodimir 23 1995 Modular properties of ribbon abelian categories. Zbl 0851.18004 Lyubashenko, Volodimir 4 1995 Quantum function algebra at roots of 1. Zbl 0846.17008 De Concini, Corrado; Lyubashenko, Volodimir 62 1994 Braided groups and quantum Fourier transform. Zbl 0810.17006 Lyubashenko, Volodimir; Majid, Shahn 44 1994 Real and imaginary forms of quantum groups. Zbl 0755.17011 Lyubashenko, Vladimir 3 1992 Hopf algebras and vector symmetries. Zbl 0649.16008 Lyubashenko, V. V. 33 1986 The Berezinian in some monoidal categories. Zbl 0616.18006 Lyubashenko, V. V. 2 1986 all cited Publications top 5 cited Publications all top 5 Cited by 408 Authors 20 Schweigert, Christoph 16 Gainutdinov, Azat M. 13 Fuchs, Jürgen 12 Majid, Shahn 12 Runkel, Ingo 10 Shimizu, Kenichi 9 Geer, Nathan 9 Gurevich, Dmitrii 9 Lyubashenko, Volodymyr V. 8 De Renzi, Marco 8 Patureau-Mirand, Bertrand 6 Lentner, Simon D. 6 Saponov, Pavel A. 6 Semikhatov, Alexei M. 5 Andruskiewitsch, Nicolás 5 Bruguières, Alain 5 García, Gastón Andrés 5 Gavarini, Fabio 5 Jakobsen, Hans Plesner 5 Jordan, David Andrew 5 Phùng Hô‘ Hài 5 Virelizier, Alexis 5 Woike, Lukas 4 Alonso Álvarez, José Nicanor 4 Blanchet, Christian 4 Cohen, Miriam 4 Feĭgin, Boris L’vovich 4 Fernández Vilaboa, José Manuel 4 González Rodríguez, Ramón 4 Lapin, Sergeĭ Valer’evich 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 Angiono, Iván Ezequiel 3 Bespalov, Yuri N. 3 Costantini, Mauro 3 Creutzig, Thomas 3 Drabant, Bernhard 3 Faitg, Matthieu 3 Gannon, Terry 3 Goodearl, Kenneth R. 3 Gordon, Iain Grant 3 Guccione, Jorge Alberto 3 Guccione, Juan José 3 Hayashi, Takahiro 3 Kartal, Yusuf Barış 3 Kim, Minkyu 3 Lachowska, Anna 3 Larsson, Daniel 3 Laugwitz, Robert 3 Safronov, Pavel 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 Côté, Laurent 2 De Deken, Olivier 2 Dunn, Lawrence 2 Farsad, V. 2 Ganatra, Sheel 2 Gukov, Sergei 2 Gürses, Metin 2 Haugseng, Rune 2 He, Jingsong 2 Kashaev, Rinat M. 2 Kontsevich, Maxim 2 Kremnizer, Kobi 2 Lauda, Aaron D. 2 Le, Thang Tu Quoc 2 Liu, Zhimin 2 López López, M. Purificación 2 Lowen, Wendy 2 Müller, Lukas 2 Negron, Cris 2 Panero, Piergiorgio 2 Pardon, John Vincent 2 Podleś, Piotr 2 Qi, You 2 Rakić, Zoran 2 Reyes, Enrique G. 2 Sawin, Stephen F. 2 Schomerus, Volker 2 Schommer-Pries, Christopher J. 2 Seidel, Paul ...and 308 more Authors all top 5 Cited in 91 Serials 56 Journal of Algebra 31 Advances in Mathematics 31 Journal of Pure and Applied Algebra 16 Communications in Algebra 15 Journal of Mathematical Physics 12 Algebraic & Geometric Topology 11 Communications in Mathematical Physics 9 Journal of Geometry and Physics 9 Transactions of the American Mathematical Society 9 Algebras and Representation Theory 7 Applied Categorical Structures 6 Theoretical and Mathematical Physics 6 Journal of the American Mathematical Society 6 Journal of Knot Theory and its Ramifications 6 Selecta Mathematica. New Series 6 Quantum Topology 5 Compositio Mathematica 5 Theory and Applications of Categories 5 Transformation Groups 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Nuclear Physics. B 4 Proceedings of the American Mathematical Society 4 Geometry & Topology 4 Journal of Nonlinear Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Israel Journal of Mathematics 3 Letters in Mathematical Physics 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Memoirs of the American Mathematical Society 3 International Journal of Mathematics 3 St. Petersburg Mathematical Journal 3 Communications in Contemporary Mathematics 3 Journal of High Energy Physics 3 Journal of Homotopy and Related Structures 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 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the London Mathematical Society. Third Series 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 Oberwolfach Reports 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 Physics Letters. B 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Fortschritte der Physik 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Filomat 1 Documenta Mathematica 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry 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 1 Forum of Mathematics, Sigma all top 5 Cited in 32 Fields 200 Associative rings and algebras (16-XX) 167 Category theory; homological algebra (18-XX) 158 Nonassociative rings and algebras (17-XX) 107 Quantum theory (81-XX) 70 Manifolds and cell complexes (57-XX) 44 Group theory and generalizations (20-XX) 32 Algebraic geometry (14-XX) 24 Differential geometry (53-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 Algebraic topology (55-XX) 15 Functional analysis (46-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 Commutative algebra (13-XX) 7 Topological groups, Lie groups (22-XX) 7 Partial differential equations (35-XX) 6 Combinatorics (05-XX) 5 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 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-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