Edit Profile (opens in new tab) Bakalov, Bojko Compute Distance To: Compute Author ID: bakalov.bojko Published as: Bakalov, Bojko; Bakalov, B. External Links: ORCID Documents Indexed: 37 Publications since 1996, including 1 Book Co-Authors: 18 Co-Authors with 36 Joint Publications 315 Co-Co-Authors all top 5 Co-Authors 1 single-authored 13 Kac, Victor G. 7 Khorozov, Emil Ivanov 7 Yakimov, Milen T. 6 De Sole, Alberto 5 Nikolov, Nikolay M. 4 D’Andrea, Alessandro 3 Heluani, Reimundo 3 Rehren, Karl-Henning 3 Sullivan, McKay 3 Todorov, Ivan T. 2 Kirillov, Alexander A. jun. 1 Elsinger, Jason 1 Fleisher, Daniel 1 Kirk, Samantha 1 Milanov, Todor E. 1 Vignoli, Veronica 1 Voronov, Alexander A. 1 Wheeless, William all top 5 Serials 4 Communications in Mathematical Physics 4 Advances in Mathematics 3 Journal of Mathematical Physics 3 Bulgarian Journal of Physics 3 Japanese Journal of Mathematics. 3rd Series 2 IMRN. International Mathematics Research Notices 2 Selecta Mathematica. New Series 2 Serdica Mathematical Journal 2 Journal of Physics A: Mathematical and Theoretical 1 Physics Letters. A 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Algebra 1 Transactions of the American Mathematical Society 1 Journal of Physics A: Mathematical and General 1 Transformation Groups 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 University Lecture Series all top 5 Fields 29 Nonassociative rings and algebras (17-XX) 16 Quantum theory (81-XX) 7 Dynamical systems and ergodic theory (37-XX) 4 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 743 times in 607 Documents Cited by ▼ Year ▼ Lectures on tensor categories and modular functors. Zbl 0965.18002Bakalov, B.; Kirillov, A. jun. 317 2001 Cohomology of conformal algebras. Zbl 0959.17018Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A. 87 1999 Theory of finite pseudoalgebras. Zbl 1001.16021Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G. 71 2001 Field algebras. Zbl 1032.17045Bakalov, Bojko; Kac, Victor G. 69 2003 Twisted modules over lattice vertex algebras. Zbl 1229.17028Bakalov, Bojko; Kac, Victor G. 23 2005 General methods for constructing bispectral operators. Zbl 0972.37545Bakalov, B.; Horozov, E.; Yakimov, M. 20 1996 On the Lego-Teichmüller game. Zbl 0999.57021Bakalov, B.; Kirillov, A. jun. 19 2000 Bispectral algebras of commuting ordinary differential operators. Zbl 0912.34065Bakalov, B.; Horozov, E.; Yakimov, M. 17 1997 \(\mathcal {W}\)-constraints for the total descendant potential of a simple singularity. Zbl 1277.53094Bakalov, Bojko; Milanov, Todor 16 2013 Irreducible modules over finite simple Lie pseudoalgebras. I: Primitive pseudoalgebras of type \(W\) and \(S\). Zbl 1104.17006Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G. 12 2006 Jacobi identity for vertex algebras in higher dimensions. Zbl 1111.17014Bakalov, Bojko; Nikolov, Nikolay M. 11 2006 Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem. Zbl 0983.17015Bakalov, B.; Horozov, E.; Yakimov, M. 10 1998 Twisted logarithmic modules of vertex algebras. Zbl 1367.17021Bakalov, Bojko 10 2016 Bäcklund-Darboux transformations in Sato’s Grassmannian. Zbl 0934.37016Bakalov, B.; Horozov, E.; Yakimov, M. 9 1996 Generalized vertex algebras. Zbl 1241.17029Bakalov, B.; Kac, V. G. 8 2006 An operadic approach to vertex algebra and Poisson vertex algebra cohomology. Zbl 1471.17048Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G. 6 2019 Orbifolds of lattice vertex algebras under an isometry of order two. Zbl 1376.17039Bakalov, Bojko; Elsinger, Jason 5 2015 Additional symmetries of the extended bigraded Toda hierarchy. Zbl 1359.37128Bakalov, Bojko; Wheeless, William 5 2016 Infinite-dimensional Lie algebras in 4D conformal quantum field theory. Zbl 1139.81052Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 5 2008 Tau-functions as highest weight vectors for \(W_{1+\infty}\) algebra. Zbl 0906.17018Bakalov, B.; Horozov, E.; Yakimov, M. 4 1996 Unitary positive-energy representations of scalar bilocal quantum fields. Zbl 1156.81422Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 4 2007 Irreducible modules over finite simple Lie pseudoalgebras. II: Primitive pseudoalgebras of type \(K\). Zbl 1287.17051Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G. 3 2013 Automorphisms of the Weyl algebra and bispectral operators. Zbl 0983.37079Bakalov, Bojko; Horozov, Emil; Yakimov, Milen 2 1998 Twisted logarithmic modules of free field algebras. Zbl 1341.81046Bakalov, Bojko; Sullivan, McKay 2 2016 Bosonizations of \(\widehat{\mathfrak{sl}}_2\) and integrable hierarchies. Zbl 1331.17026Bakalov, Bojko; Fleisher, Daniel 2 2015 Highest weight modules of \(W_{1+\infty}\) Darboux transformations and the bispectral problem. Zbl 0939.81008Bakalov, B.; Horozov, E.; Yakimov, M. 1 1997 Constructing models of vertex algebras in higher dimensions. Zbl 1202.17012Bakalov, Bojko; Nikolov, Nikolay M. 1 2008 Computation of cohomology of vertex algebras. Zbl 07324372Bakalov, Bojko; De Sole, Alberto; Kac, Victor G. 1 2021 Computation of cohomology of Lie conformal and Poisson vertex algebras. Zbl 1479.17036Bakalov, Bojko; De Sole, Alberto; Kac, Victor G. 1 2020 Non-linear Lie conformal algebras with three generators. Zbl 1205.17027Bakalov, Bojko; De Sole, Alberto 1 2009 Twisted logarithmic modules of lattice vertex algebras. Zbl 1462.17030Bakalov, Bojko; Sullivan, McKay 1 2019 Computation of cohomology of vertex algebras. Zbl 07324372Bakalov, Bojko; De Sole, Alberto; Kac, Victor G. 1 2021 Computation of cohomology of Lie conformal and Poisson vertex algebras. Zbl 1479.17036Bakalov, Bojko; De Sole, Alberto; Kac, Victor G. 1 2020 An operadic approach to vertex algebra and Poisson vertex algebra cohomology. Zbl 1471.17048Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G. 6 2019 Twisted logarithmic modules of lattice vertex algebras. Zbl 1462.17030Bakalov, Bojko; Sullivan, McKay 1 2019 Twisted logarithmic modules of vertex algebras. Zbl 1367.17021Bakalov, Bojko 10 2016 Additional symmetries of the extended bigraded Toda hierarchy. Zbl 1359.37128Bakalov, Bojko; Wheeless, William 5 2016 Twisted logarithmic modules of free field algebras. Zbl 1341.81046Bakalov, Bojko; Sullivan, McKay 2 2016 Orbifolds of lattice vertex algebras under an isometry of order two. Zbl 1376.17039Bakalov, Bojko; Elsinger, Jason 5 2015 Bosonizations of \(\widehat{\mathfrak{sl}}_2\) and integrable hierarchies. Zbl 1331.17026Bakalov, Bojko; Fleisher, Daniel 2 2015 \(\mathcal {W}\)-constraints for the total descendant potential of a simple singularity. Zbl 1277.53094Bakalov, Bojko; Milanov, Todor 16 2013 Irreducible modules over finite simple Lie pseudoalgebras. II: Primitive pseudoalgebras of type \(K\). Zbl 1287.17051Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G. 3 2013 Non-linear Lie conformal algebras with three generators. Zbl 1205.17027Bakalov, Bojko; De Sole, Alberto 1 2009 Infinite-dimensional Lie algebras in 4D conformal quantum field theory. Zbl 1139.81052Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 5 2008 Constructing models of vertex algebras in higher dimensions. Zbl 1202.17012Bakalov, Bojko; Nikolov, Nikolay M. 1 2008 Unitary positive-energy representations of scalar bilocal quantum fields. Zbl 1156.81422Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 4 2007 Irreducible modules over finite simple Lie pseudoalgebras. I: Primitive pseudoalgebras of type \(W\) and \(S\). Zbl 1104.17006Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G. 12 2006 Jacobi identity for vertex algebras in higher dimensions. Zbl 1111.17014Bakalov, Bojko; Nikolov, Nikolay M. 11 2006 Generalized vertex algebras. Zbl 1241.17029Bakalov, B.; Kac, V. G. 8 2006 Twisted modules over lattice vertex algebras. Zbl 1229.17028Bakalov, Bojko; Kac, Victor G. 23 2005 Field algebras. Zbl 1032.17045Bakalov, Bojko; Kac, Victor G. 69 2003 Lectures on tensor categories and modular functors. Zbl 0965.18002Bakalov, B.; Kirillov, A. jun. 317 2001 Theory of finite pseudoalgebras. Zbl 1001.16021Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G. 71 2001 On the Lego-Teichmüller game. Zbl 0999.57021Bakalov, B.; Kirillov, A. jun. 19 2000 Cohomology of conformal algebras. Zbl 0959.17018Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A. 87 1999 Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem. Zbl 0983.17015Bakalov, B.; Horozov, E.; Yakimov, M. 10 1998 Automorphisms of the Weyl algebra and bispectral operators. Zbl 0983.37079Bakalov, Bojko; Horozov, Emil; Yakimov, Milen 2 1998 Bispectral algebras of commuting ordinary differential operators. Zbl 0912.34065Bakalov, B.; Horozov, E.; Yakimov, M. 17 1997 Highest weight modules of \(W_{1+\infty}\) Darboux transformations and the bispectral problem. Zbl 0939.81008Bakalov, B.; Horozov, E.; Yakimov, M. 1 1997 General methods for constructing bispectral operators. Zbl 0972.37545Bakalov, B.; Horozov, E.; Yakimov, M. 20 1996 Bäcklund-Darboux transformations in Sato’s Grassmannian. Zbl 0934.37016Bakalov, B.; Horozov, E.; Yakimov, M. 9 1996 Tau-functions as highest weight vectors for \(W_{1+\infty}\) algebra. Zbl 0906.17018Bakalov, B.; Horozov, E.; Yakimov, M. 4 1996 all cited Publications top 5 cited Publications all top 5 Cited by 527 Authors 26 Kac, Victor G. 21 Rowell, Eric C. 19 Kolesnikov, Pavel Sergeevich 19 Runkel, Ingo 17 Bakalov, Bojko 17 Hong, Yanyong 15 Schweigert, Christoph 15 Wang, Zhenghan 13 Khorozov, Emil Ivanov 13 Su, Yucai 12 De Sole, Alberto 12 Fuchs, Jürgen 12 Li, Haisheng 11 Plavnik, Julia Yael 10 Kong, Liang 10 Ng, Siu-Hung 9 Bai, Chengming 9 Bruillard, Paul 9 Huang, Yi-Zhi 9 Sun, Jiancai 9 Xia, Chunguang 9 Yuan, Lamei 8 Iliev, Plamen 8 Milanov, Todor E. 8 Ostrik, Victor Valentinovich 8 Shimizu, Kenichi 8 Wu, Zhixiang 7 Creutzig, Thomas 7 D’Andrea, Alessandro 7 Galindo Martínez, César Neyit 7 Lam, Ching Hung 7 Liberati, Jose I. 7 Naaijkens, Pieter 7 Nikshych, Dmitri 7 Wu, Henan 6 Andersen, Jørgen Ellegaard 6 Naidu, Deepak 6 Schopieray, Andrew 6 Suh, Uhi Rinn 6 Yue, Xiaoqing 5 Adamović, Dražen 5 Burciu, Sebastian M. 5 Dong, Chongying 5 Etingof, Pavel Il’ich 5 Kasman, Alex 5 Tan, Shao Bin 4 Bonderson, Parsa 4 Boyallian, Carina 4 Carqueville, Nils 4 Cohen, Miriam 4 Davydov, Alekseĭ Aleksandrovich 4 Douglas, Christopher L. 4 Gelaki, Shlomo 4 Gustafson, Paul P. 4 Han, Xiu 4 Kawahigashi, Yasuyuki 4 Kozlov, Roman A. 4 Lacabanne, Abel 4 Li, Libin 4 Liu, Jiefeng 4 Möseneder Frajria, Pierluigi 4 Natale, Sonia 4 Nikolov, Nikolay M. 4 Papi, Paolo 4 Perše, Ozren 4 Retakh, Alexander 4 Schauenburg, Peter 4 Schaumann, Gregor 4 Semikhatov, Alexei M. 4 Snyder, Noah 4 Sun, Qinxiu 4 Todorov, Ivan T. 4 Wang, Dengyin 4 Westreich, Sara 4 Yakimov, Milen T. 3 Anguelova, Iana I. 3 Bantay, Peter 3 Boyarchenko, Mitya 3 Coquereaux, Robert 3 Dong, Jingcheng 3 Drinfeld, Vladimir Gershonovich 3 Fan, Guangzhe 3 Fjelstad, Jens 3 Funar, Louis 3 Gainutdinov, Azat M. 3 Grünbaum, Francisco Alberto 3 Gubarev, Vsevolod Yur’evich 3 Haine, Luc 3 Heluani, Reimundo 3 Jones, Corey 3 Kamnitzer, Joel 3 Kožić, Slaven 3 Kujawa, Jonathan Robert 3 Li, Fang 3 Lin, Xingjun 3 Linshaw, Andrew Ross 3 McRae, Robert 3 Möller, Sven 3 Rehren, Karl-Henning 3 Sheng, Yunhe ...and 427 more Authors all top 5 Cited in 113 Serials 73 Communications in Mathematical Physics 73 Journal of Algebra 35 Advances in Mathematics 34 Journal of Mathematical Physics 25 Communications in Algebra 19 Selecta Mathematica. New Series 16 Letters in Mathematical Physics 16 Journal of Pure and Applied Algebra 15 Nuclear Physics. B 14 Algebras and Representation Theory 13 Journal of Geometry and Physics 12 Journal of Algebra and its Applications 11 Journal of Knot Theory and its Ramifications 11 Journal of High Energy Physics 10 Transactions of the American Mathematical Society 10 International Journal of Mathematics 9 Algebraic & Geometric Topology 8 Proceedings of the American Mathematical Society 8 Japanese Journal of Mathematics. 3rd Series 8 Quantum Topology 7 Annals of Physics 7 Communications in Contemporary Mathematics 5 Linear and Multilinear Algebra 5 Reviews in Mathematical Physics 5 Compositio Mathematica 5 Duke Mathematical Journal 4 Mathematische Zeitschrift 4 Journal of Algebraic Combinatorics 4 Acta Mathematica Sinica. English Series 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Computational and Applied Mathematics 3 Journal für die Reine und Angewandte Mathematik 3 Pacific Journal of Mathematics 3 Applied Categorical Structures 3 Algebra Colloquium 3 Transformation Groups 3 Journal of Noncommutative Geometry 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Theoretical and Mathematical Physics 2 Algebra and Logic 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Glasgow Mathematical Journal 2 Inventiones Mathematicae 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Constructive Approximation 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Bulletin des Sciences Mathématiques 2 Theory and Applications of Categories 2 Mathematical Physics, Analysis and Geometry 2 Geometry & Topology 2 Central European Journal of Mathematics 2 International Electronic Journal of Algebra (IEJA) 2 Advances in Mathematical Physics 2 Science China. Mathematics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Russian Mathematical Surveys 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 European Journal of Combinatorics 1 Physica D 1 Discrete & Computational Geometry 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Journal of Lie Theory 1 The Ramanujan Journal 1 Taiwanese Journal of Mathematics 1 Journal of Group Theory 1 Annales Henri Poincaré 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu ...and 13 more Serials all top 5 Cited in 41 Fields 309 Nonassociative rings and algebras (17-XX) 219 Quantum theory (81-XX) 196 Category theory; homological algebra (18-XX) 137 Associative rings and algebras (16-XX) 57 Group theory and generalizations (20-XX) 56 Manifolds and cell complexes (57-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Algebraic geometry (14-XX) 28 Functional analysis (46-XX) 22 Differential geometry (53-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Special functions (33-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Commutative algebra (13-XX) 11 Ordinary differential equations (34-XX) 11 Operator theory (47-XX) 11 Algebraic topology (55-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Topological groups, Lie groups (22-XX) 10 Partial differential equations (35-XX) 9 Number theory (11-XX) 8 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 7 Relativity and gravitational theory (83-XX) 6 Combinatorics (05-XX) 6 \(K\)-theory (19-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year