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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: 37 Publications since 1996, including 1 Book
Co-Authors: 18 Co-Authors with 36 Joint Publications
315 Co-Co-Authors

Publications by Year

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 0965.18002
Bakalov, B.; Kirillov, A. jun.
317
2001
Cohomology of conformal algebras. Zbl 0959.17018
Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A.
87
1999
Theory of finite pseudoalgebras. Zbl 1001.16021
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
71
2001
Field algebras. Zbl 1032.17045
Bakalov, Bojko; Kac, Victor G.
69
2003
Twisted modules over lattice vertex algebras. Zbl 1229.17028
Bakalov, Bojko; Kac, Victor G.
23
2005
General methods for constructing bispectral operators. Zbl 0972.37545
Bakalov, B.; Horozov, E.; Yakimov, M.
20
1996
On the Lego-Teichmüller game. Zbl 0999.57021
Bakalov, B.; Kirillov, A. jun.
19
2000
Bispectral algebras of commuting ordinary differential operators. Zbl 0912.34065
Bakalov, B.; Horozov, E.; Yakimov, M.
17
1997
\(\mathcal {W}\)-constraints for the total descendant potential of a simple singularity. Zbl 1277.53094
Bakalov, Bojko; Milanov, Todor
16
2013
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.
12
2006
Jacobi identity for vertex algebras in higher dimensions. Zbl 1111.17014
Bakalov, Bojko; Nikolov, Nikolay M.
11
2006
Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem. Zbl 0983.17015
Bakalov, B.; Horozov, E.; Yakimov, M.
10
1998
Twisted logarithmic modules of vertex algebras. Zbl 1367.17021
Bakalov, Bojko
10
2016
Bäcklund-Darboux transformations in Sato’s Grassmannian. Zbl 0934.37016
Bakalov, B.; Horozov, E.; Yakimov, M.
9
1996
Generalized vertex algebras. Zbl 1241.17029
Bakalov, B.; Kac, V. G.
8
2006
An operadic approach to vertex algebra and Poisson vertex algebra cohomology. Zbl 1471.17048
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.
6
2019
Orbifolds of lattice vertex algebras under an isometry of order two. Zbl 1376.17039
Bakalov, Bojko; Elsinger, Jason
5
2015
Additional symmetries of the extended bigraded Toda hierarchy. Zbl 1359.37128
Bakalov, Bojko; Wheeless, William
5
2016
Infinite-dimensional Lie algebras in 4D conformal quantum field theory. Zbl 1139.81052
Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan
5
2008
Tau-functions as highest weight vectors for \(W_{1+\infty}\) algebra. Zbl 0906.17018
Bakalov, B.; Horozov, E.; Yakimov, M.
4
1996
Unitary positive-energy representations of scalar bilocal quantum fields. Zbl 1156.81422
Bakalov, 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 1287.17051
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
3
2013
Automorphisms of the Weyl algebra and bispectral operators. Zbl 0983.37079
Bakalov, Bojko; Horozov, Emil; Yakimov, Milen
2
1998
Twisted logarithmic modules of free field algebras. Zbl 1341.81046
Bakalov, Bojko; Sullivan, McKay
2
2016
Bosonizations of \(\widehat{\mathfrak{sl}}_2\) and integrable hierarchies. Zbl 1331.17026
Bakalov, Bojko; Fleisher, Daniel
2
2015
Highest weight modules of \(W_{1+\infty}\) Darboux transformations and the bispectral problem. Zbl 0939.81008
Bakalov, B.; Horozov, E.; Yakimov, M.
1
1997
Constructing models of vertex algebras in higher dimensions. Zbl 1202.17012
Bakalov, Bojko; Nikolov, Nikolay M.
1
2008
Computation of cohomology of vertex algebras. Zbl 07324372
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
1
2021
Computation of cohomology of Lie conformal and Poisson vertex algebras. Zbl 1479.17036
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
1
2020
Non-linear Lie conformal algebras with three generators. Zbl 1205.17027
Bakalov, Bojko; De Sole, Alberto
1
2009
Twisted logarithmic modules of lattice vertex algebras. Zbl 1462.17030
Bakalov, Bojko; Sullivan, McKay
1
2019
Computation of cohomology of vertex algebras. Zbl 07324372
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
1
2021
Computation of cohomology of Lie conformal and Poisson vertex algebras. Zbl 1479.17036
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G.
1
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.
6
2019
Twisted logarithmic modules of lattice vertex algebras. Zbl 1462.17030
Bakalov, Bojko; Sullivan, McKay
1
2019
Twisted logarithmic modules of vertex algebras. Zbl 1367.17021
Bakalov, Bojko
10
2016
Additional symmetries of the extended bigraded Toda hierarchy. Zbl 1359.37128
Bakalov, Bojko; Wheeless, William
5
2016
Twisted logarithmic modules of free field algebras. Zbl 1341.81046
Bakalov, Bojko; Sullivan, McKay
2
2016
Orbifolds of lattice vertex algebras under an isometry of order two. Zbl 1376.17039
Bakalov, Bojko; Elsinger, Jason
5
2015
Bosonizations of \(\widehat{\mathfrak{sl}}_2\) and integrable hierarchies. Zbl 1331.17026
Bakalov, Bojko; Fleisher, Daniel
2
2015
\(\mathcal {W}\)-constraints for the total descendant potential of a simple singularity. Zbl 1277.53094
Bakalov, Bojko; Milanov, Todor
16
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.
3
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
5
2008
Constructing models of vertex algebras in higher dimensions. Zbl 1202.17012
Bakalov, Bojko; Nikolov, Nikolay M.
1
2008
Unitary positive-energy representations of scalar bilocal quantum fields. Zbl 1156.81422
Bakalov, 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 1104.17006
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
12
2006
Jacobi identity for vertex algebras in higher dimensions. Zbl 1111.17014
Bakalov, Bojko; Nikolov, Nikolay M.
11
2006
Generalized vertex algebras. Zbl 1241.17029
Bakalov, B.; Kac, V. G.
8
2006
Twisted modules over lattice vertex algebras. Zbl 1229.17028
Bakalov, Bojko; Kac, Victor G.
23
2005
Field algebras. Zbl 1032.17045
Bakalov, Bojko; Kac, Victor G.
69
2003
Lectures on tensor categories and modular functors. Zbl 0965.18002
Bakalov, B.; Kirillov, A. jun.
317
2001
Theory of finite pseudoalgebras. Zbl 1001.16021
Bakalov, Bojko; D’Andrea, Alessandro; Kac, Victor G.
71
2001
On the Lego-Teichmüller game. Zbl 0999.57021
Bakalov, B.; Kirillov, A. jun.
19
2000
Cohomology of conformal algebras. Zbl 0959.17018
Bakalov, Bojko; Kac, Victor G.; Voronov, Alexander A.
87
1999
Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem. Zbl 0983.17015
Bakalov, B.; Horozov, E.; Yakimov, M.
10
1998
Automorphisms of the Weyl algebra and bispectral operators. Zbl 0983.37079
Bakalov, Bojko; Horozov, Emil; Yakimov, Milen
2
1998
Bispectral algebras of commuting ordinary differential operators. Zbl 0912.34065
Bakalov, B.; Horozov, E.; Yakimov, M.
17
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.
20
1996
Bäcklund-Darboux transformations in Sato’s Grassmannian. Zbl 0934.37016
Bakalov, B.; Horozov, E.; Yakimov, M.
9
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 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