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Author ID: bakalov.bojko Recent zbMATH articles by "Bakalov, Bojko"
Published as: Bakalov, Bojko; Bakalov, B.
External Links: ORCID
Documents Indexed: 44 Publications since 1996, including 1 Book and 5 Additional arXiv Preprints
Co-Authors: 14 Co-Authors with 37 Joint Publications
321 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 913 times in 716 Documents Cited by Year
Lectures on tensor categories and modular functors. Zbl 0965.18002
Bakalov, B.; Kirillov, A. jun.
370
2001
Cohomology of conformal algebras. Zbl 0959.17018
Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A.
108
1999
Field algebras. Zbl 1032.17045
Bakalov, Bojko; Kac, Victor G.
93
2003
Theory of finite pseudoalgebras. Zbl 1001.16021
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
91
2001
Twisted modules over lattice vertex algebras. Zbl 1229.17028
Bakalov, Bojko; Kac, Victor G.
34
2005
General methods for constructing bispectral operators. Zbl 0972.37545
Bakalov, B.; Horozov, E.; Yakimov, M.
29
1996
\(\mathcal {W}\)-constraints for the total descendant potential of a simple singularity. Zbl 1277.53094
Bakalov, Bojko; Milanov, Todor
25
2013
Bispectral algebras of commuting ordinary differential operators. Zbl 0912.34065
Bakalov, B.; Horozov, E.; Yakimov, M.
25
1997
On the Lego-Teichmüller game. Zbl 0999.57021
Bakalov, B.; Kirillov, A. jun.
25
2000
Irreducible modules over finite simple Lie pseudoalgebras. I: Primitive pseudoalgebras of type \(W\) and \(S\). Zbl 1104.17006
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
17
2006
Twisted logarithmic modules of vertex algebras. Zbl 1367.17021
Bakalov, Bojko
14
2016
Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem. Zbl 0983.17015
Bakalov, B.; Horozov, E.; Yakimov, M.
12
1998
An operadic approach to vertex algebra and Poisson vertex algebra cohomology. Zbl 1471.17048
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.
12
2019
Generalized vertex algebras. Zbl 1241.17029
Bakalov, B.; Kac, V. G.
11
2006
Bäcklund-Darboux transformations in Sato’s Grassmannian. Zbl 0934.37016
Bakalov, B.; Horozov, E.; Yakimov, M.
11
1996
Additional symmetries of the extended bigraded Toda hierarchy. Zbl 1359.37128
Bakalov, Bojko; Wheeless, William
9
2016
Irreducible modules over finite simple Lie pseudoalgebras. II: Primitive pseudoalgebras of type \(K\). Zbl 1287.17051
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
7
2013
Infinite-dimensional Lie algebras in 4D conformal quantum field theory. Zbl 1139.81052
Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan
6
2008
Orbifolds of lattice vertex algebras under an isometry of order two. Zbl 1376.17039
Bakalov, Bojko; Elsinger, Jason
6
2015
Unitary positive-energy representations of scalar bilocal quantum fields. Zbl 1156.81422
Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan
5
2007
Automorphisms of the Weyl algebra and bispectral operators. Zbl 0983.37079
Bakalov, Bojko; Horozov, Emil; Yakimov, Milen
5
1998
Computation of cohomology of Lie conformal and Poisson vertex algebras. Zbl 1479.17036
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
5
2020
Chiral versus classical operad. Zbl 1483.17019
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.
4
2020
Tau-functions as highest weight vectors for \(W_{1+\infty}\) algebra. Zbl 0906.17018
Bakalov, B.; Horozov, E.; Yakimov, M.
4
1996
Twisted logarithmic modules of lattice vertex algebras. Zbl 1462.17030
Bakalov, Bojko; Sullivan, McKay
4
2019
Computation of cohomology of vertex algebras. Zbl 1509.17020
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
4
2021
Bosonizations of \(\widehat{\mathfrak{sl}}_2\) and integrable hierarchies. Zbl 1331.17026
Bakalov, Bojko; Fleisher, Daniel
3
2015
Twisted logarithmic modules of free field algebras. Zbl 1341.81046
Bakalov, Bojko; Sullivan, McKay
3
2016
Irreducible modules over finite simple Lie pseudoalgebras. III: Primitive pseudoalgebras of type \(H\). Zbl 1511.17067
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
3
2021
Classical and variational Poisson cohomology. Zbl 1487.17050
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.; Vignoli, Veronica
2
2021
Non-linear Lie conformal algebras with three generators. Zbl 1205.17027
Bakalov, Bojko; De Sole, Alberto
1
2009
Highest weight modules of \(W_{1+\infty}\) Darboux transformations and the bispectral problem. Zbl 0939.81008
Bakalov, B.; Horozov, E.; Yakimov, M.
1
1997
Inhomogeneous supersymmetric bilinear forms. Zbl 1421.15004
Bakalov, Bojko; Sullivan, McKay
1
2018
Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras. Zbl 1523.17049
Bakalov, Bojko; Kirk, Samantha
1
2021
Computation of cohomology of vertex algebras. Zbl 1509.17020
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
4
2021
Irreducible modules over finite simple Lie pseudoalgebras. III: Primitive pseudoalgebras of type \(H\). Zbl 1511.17067
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
3
2021
Classical and variational Poisson cohomology. Zbl 1487.17050
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.; Vignoli, Veronica
2
2021
Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras. Zbl 1523.17049
Bakalov, Bojko; Kirk, Samantha
1
2021
Computation of cohomology of Lie conformal and Poisson vertex algebras. Zbl 1479.17036
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
5
2020
Chiral versus classical operad. Zbl 1483.17019
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.
4
2020
An operadic approach to vertex algebra and Poisson vertex algebra cohomology. Zbl 1471.17048
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.
12
2019
Twisted logarithmic modules of lattice vertex algebras. Zbl 1462.17030
Bakalov, Bojko; Sullivan, McKay
4
2019
Inhomogeneous supersymmetric bilinear forms. Zbl 1421.15004
Bakalov, Bojko; Sullivan, McKay
1
2018
Twisted logarithmic modules of vertex algebras. Zbl 1367.17021
Bakalov, Bojko
14
2016
Additional symmetries of the extended bigraded Toda hierarchy. Zbl 1359.37128
Bakalov, Bojko; Wheeless, William
9
2016
Twisted logarithmic modules of free field algebras. Zbl 1341.81046
Bakalov, Bojko; Sullivan, McKay
3
2016
Orbifolds of lattice vertex algebras under an isometry of order two. Zbl 1376.17039
Bakalov, Bojko; Elsinger, Jason
6
2015
Bosonizations of \(\widehat{\mathfrak{sl}}_2\) and integrable hierarchies. Zbl 1331.17026
Bakalov, Bojko; Fleisher, Daniel
3
2015
\(\mathcal {W}\)-constraints for the total descendant potential of a simple singularity. Zbl 1277.53094
Bakalov, Bojko; Milanov, Todor
25
2013
Irreducible modules over finite simple Lie pseudoalgebras. II: Primitive pseudoalgebras of type \(K\). Zbl 1287.17051
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
7
2013
Non-linear Lie conformal algebras with three generators. Zbl 1205.17027
Bakalov, Bojko; De Sole, Alberto
1
2009
Infinite-dimensional Lie algebras in 4D conformal quantum field theory. Zbl 1139.81052
Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan
6
2008
Unitary positive-energy representations of scalar bilocal quantum fields. Zbl 1156.81422
Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan
5
2007
Irreducible modules over finite simple Lie pseudoalgebras. I: Primitive pseudoalgebras of type \(W\) and \(S\). Zbl 1104.17006
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
17
2006
Generalized vertex algebras. Zbl 1241.17029
Bakalov, B.; Kac, V. G.
11
2006
Twisted modules over lattice vertex algebras. Zbl 1229.17028
Bakalov, Bojko; Kac, Victor G.
34
2005
Field algebras. Zbl 1032.17045
Bakalov, Bojko; Kac, Victor G.
93
2003
Lectures on tensor categories and modular functors. Zbl 0965.18002
Bakalov, B.; Kirillov, A. jun.
370
2001
Theory of finite pseudoalgebras. Zbl 1001.16021
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
91
2001
On the Lego-Teichmüller game. Zbl 0999.57021
Bakalov, B.; Kirillov, A. jun.
25
2000
Cohomology of conformal algebras. Zbl 0959.17018
Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A.
108
1999
Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem. Zbl 0983.17015
Bakalov, B.; Horozov, E.; Yakimov, M.
12
1998
Automorphisms of the Weyl algebra and bispectral operators. Zbl 0983.37079
Bakalov, Bojko; Horozov, Emil; Yakimov, Milen
5
1998
Bispectral algebras of commuting ordinary differential operators. Zbl 0912.34065
Bakalov, B.; Horozov, E.; Yakimov, M.
25
1997
Highest weight modules of \(W_{1+\infty}\) Darboux transformations and the bispectral problem. Zbl 0939.81008
Bakalov, B.; Horozov, E.; Yakimov, M.
1
1997
General methods for constructing bispectral operators. Zbl 0972.37545
Bakalov, B.; Horozov, E.; Yakimov, M.
29
1996
Bäcklund-Darboux transformations in Sato’s Grassmannian. Zbl 0934.37016
Bakalov, B.; Horozov, E.; Yakimov, M.
11
1996
Tau-functions as highest weight vectors for \(W_{1+\infty}\) algebra. Zbl 0906.17018
Bakalov, B.; Horozov, E.; Yakimov, M.
4
1996
all top 5

Cited by 647 Authors

28 Kac, Victor
27 Rowell, Eric C.
23 Kolesnikov, Pavel Sergeevich
20 Hong, Yanyong
20 Runkel, Ingo
19 Schweigert, Christoph
17 Wang, Zhenghan
15 Bakalov, Bojko
15 Li, Haisheng
14 Ng, Siu-Hung
14 Su, Yucai
13 De Sole, Alberto
13 Fuchs, Jürgen
13 Khorozov, Emil Ivanov
13 Yuan, Lamei
12 Creutzig, Thomas
11 Bai, Chengming
11 Lam, Ching Hung
11 Plavnik, Julia Yael
11 Wu, Zhixiang
10 Kong, Liang
10 Sun, Jiancai
10 Xia, Chunguang
9 Bruillard, Paul
9 Iliev, Plamen
9 Ostrik, Victor Valentinovich
9 Yue, Xiaoqing
8 D’Andrea, Alessandro
8 Galindo Martínez, César Neyit
8 Grünbaum, Francisco Alberto
8 Liu, Jiefeng
8 Shimizu, Kenichi
8 Wu, Henan
8 Yakimov, Milen T.
7 Boyallian, Carina
7 Huang, Yi-Zhi
7 Liberati, Jose I.
7 Milanov, Todor E.
7 Naaijkens, Pieter
7 Nikshych, Dmitri
7 Zhang, Qing
6 Andersen, Jørgen Ellegaard
6 Etingof, Pavel Il’ich
6 Kozlov, Roman A.
6 Naidu, Deepak
6 Schopieray, Andrew
6 Suh, Uhi Rinn
6 Tan, Shaobin
5 Bonderson, Parsa
5 Casper, W. Riley
5 Dong, Chongying
5 Gubarev, Vsevolod Yur’evich
5 Gustafson, Paul P.
5 Kasman, Alex
5 Kožić, Slaven
5 Wang, Yilong
4 Adamović, Dražen
4 Borot, Gaëtan
4 Buican, Matthew
4 Carqueville, Nils
4 Cohen, Miriam
4 Davydov, Alekseĭ Aleksandrovich
4 Dong, Jingcheng
4 Douglas, Christopher L.
4 Gannon, Terry
4 Gelaki, Shlomo
4 Han, Xiu
4 Kawahigashi, Yasuyuki
4 Lacabanne, Abel
4 Li, Libin
4 Möller, Sven
4 Möseneder Frajria, Pierluigi
4 Natale, Sonia
4 Papi, Paolo
4 Perše, Ozren
4 Retakh, Alexander
4 Schauenburg, Peter
4 Schaumann, Gregor
4 Semikhatov, Alexei M.
4 Sheng, Yunhe
4 Snyder, Noah
4 Sun, Qinxiu
4 Wang, Dengyin
4 Westreich, Sara
4 Xu, Feng
4 Yang, Di
3 Anguelova, Iana I.
3 Bantay, Peter
3 Ben-Zvi, David
3 Bouchard, Vincent
3 Boyarchenko, Mitya
3 Chen, Liangyun
3 Coquereaux, Robert
3 Cui, Shawn Xingshan
3 Drinfeld, Vladimir Gershonovich
3 Elsinger, Jason
3 Fan, Guangzhe
3 Feĭgin, Boris L’vovich
3 Fjelstad, Jens
3 Funar, Louis
...and 547 more Authors
all top 5

Cited in 127 Serials

78 Communications in Mathematical Physics
78 Journal of Algebra
38 Communications in Algebra
38 Journal of Mathematical Physics
38 Advances in Mathematics
21 Journal of Pure and Applied Algebra
21 Selecta Mathematica. New Series
21 Journal of High Energy Physics
17 Letters in Mathematical Physics
16 Algebras and Representation Theory
15 Journal of Geometry and Physics
14 Nuclear Physics. B
13 Journal of Algebra and its Applications
12 International Journal of Mathematics
12 Quantum Topology
11 Journal of Knot Theory and its Ramifications
11 Algebraic & Geometric Topology
10 Transactions of the American Mathematical Society
9 Proceedings of the American Mathematical Society
9 Japanese Journal of Mathematics. 3rd Series
8 Annals of Physics
8 Communications in Contemporary Mathematics
7 Linear and Multilinear Algebra
7 Journal of Physics A: Mathematical and Theoretical
6 Duke Mathematical Journal
5 Israel Journal of Mathematics
5 Reviews in Mathematical Physics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Compositio Mathematica
4 Mathematische Zeitschrift
4 Memoirs of the American Mathematical Society
4 Journal of Algebraic Combinatorics
4 Acta Mathematica Sinica. English Series
3 Physics Letters. A
3 Theoretical and Mathematical Physics
3 Algebra and Logic
3 Journal of Computational and Applied Mathematics
3 Pacific Journal of Mathematics
3 Applied Categorical Structures
3 Algebra Colloquium
3 Journal of Lie Theory
3 Bulletin des Sciences Mathématiques
3 Transformation Groups
3 Annales Henri Poincaré
3 Journal of Noncommutative Geometry
3 International Electronic Journal of Algebra (IEJA)
2 Journal of Mathematical Analysis and Applications
2 Reports on Mathematical Physics
2 Archiv der Mathematik
2 Glasgow Mathematical Journal
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Monatshefte für Mathematik
2 Proceedings of the London Mathematical Society. Third Series
2 Constructive Approximation
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Bulletin of the American Mathematical Society. New Series
2 Theory and Applications of Categories
2 Geometry & Topology
2 Central European Journal of Mathematics
2 Frontiers of Mathematics in China
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 International Journal of Modern Physics A
1 International Journal of Modern Physics B
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Statistical Physics
1 Nonlinearity
1 Russian Mathematical Surveys
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
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 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Tôhoku Mathematical Journal. Second Series
1 Topology and its Applications
1 European Journal of Combinatorics
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Physica D
1 Discrete & Computational Geometry
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 L’Enseignement Mathématique. 2e Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Geometry
1 Applied Mathematics. Series B (English Edition)
...and 27 more Serials
all top 5

Cited in 45 Fields

366 Nonassociative rings and algebras (17-XX)
240 Quantum theory (81-XX)
232 Category theory; homological algebra (18-XX)
159 Associative rings and algebras (16-XX)
71 Manifolds and cell complexes (57-XX)
69 Group theory and generalizations (20-XX)
40 Algebraic geometry (14-XX)
38 Dynamical systems and ergodic theory (37-XX)
32 Functional analysis (46-XX)
25 Differential geometry (53-XX)
20 Special functions (33-XX)
19 Global analysis, analysis on manifolds (58-XX)
17 Commutative algebra (13-XX)
17 Partial differential equations (35-XX)
16 Operator theory (47-XX)
15 Number theory (11-XX)
15 Several complex variables and analytic spaces (32-XX)
13 Statistical mechanics, structure of matter (82-XX)
11 Topological groups, Lie groups (22-XX)
11 Algebraic topology (55-XX)
10 Ordinary differential equations (34-XX)
9 Functions of a complex variable (30-XX)
9 Difference and functional equations (39-XX)
8 \(K\)-theory (19-XX)
8 Relativity and gravitational theory (83-XX)
7 Combinatorics (05-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Computer science (68-XX)
4 Mechanics of particles and systems (70-XX)
2 Field theory and polynomials (12-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geometry (51-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-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