Bojko Nentchev Bakalov

Works (43)

Updated: April 5th, 2024 04:30

2023 article

Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras

Bakalov, B., & Villarreal, J. J. (2023, September 5). COMMUNICATIONS IN MATHEMATICAL PHYSICS.

By: B. Bakalov & J. Villarreal

Source: Web Of Science
Added: September 11, 2023

2023 journal article

Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 404(1), 185–226.

By: B. Bakalov n & J. Villarreal*

Source: Web Of Science
Added: December 4, 2023

2023 article

Orbifolds of lattice vertex algebras

Bakalov, B., Elsinger, J., Kac, V. G., & Todorov, I. (2023, June 14). JAPANESE JOURNAL OF MATHEMATICS.

By: B. Bakalov n, J. Elsinger*, V. Kac* & I. Todorov*

author keywords: regular vertex algebra; lattice vertex algebra; theta function; modular transformation; orbifold algebra; twisted module
Source: Web Of Science
Added: July 3, 2023

2023 article

Reconstruction of Vertex Algebras in Even Higher Dimensions

Bakalov, B. N., & Nikolov, N. M. (2023, November 2). ANNALES HENRI POINCARE.

By: B. Bakalov* & N. Nikolov

author keywords: Primary 17B69; Secondary 81R10; 81T40
Source: Web Of Science
Added: November 20, 2023

2022 article

Logarithmic Vertex Algebras

Bakalov, B. N., & Villarreal, J. J. (2022, September 9). TRANSFORMATION GROUPS.

By: B. Bakalov* & J. Villarreal

author keywords: Logarithmic conformal field theory; Vertex algebra; Virasoro algebra
Source: Web Of Science
Added: September 19, 2022

2021 article

Classical and variational Poisson cohomology

Bakalov, B., De Sole, A., Heluani, R., Kac, V. G., & Vignoli, V. (2021, August 9). JAPANESE JOURNAL OF MATHEMATICS.

By: B. Bakalov n, A. De Sole*, R. Heluani*, V. Kac* & V. Vignoli*

author keywords: Poisson vertex algebra (PVA); classical operad; classical PVA cohomology; variational PVA cohomology; sesquilinear Hochschild and Harrison cohomology
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 16, 2021

2021 journal article

Irreducible modules over finite simple Lie pseudoalgebras III. Primitive pseudoalgebras of type H

ADVANCES IN MATHEMATICS, 392.

By: B. Bakalov n, A. D'Andrea & V. Kac*

author keywords: Lie pseudoalgebra; Lie-Cartan algebra of vector fields; Hopf algebra; Conformally symplectic geometry
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: November 1, 2021

2021 journal article

Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras

JOURNAL OF MATHEMATICAL PHYSICS, 62(3).

By: B. Bakalov n & S. Kirk n

UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: March 29, 2021

2020 journal article

Chiral Versus Classical Operad

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020(19), 6463–6488.

By: B. Bakalov n, A. De Sole*, R. Heluani* & V. Kac*

UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: January 4, 2021

2020 journal article

Computation of cohomology of Lie conformal and Poisson vertex algebras

SELECTA MATHEMATICA-NEW SERIES, 26(4).

By: B. Bakalov n, A. De Sole* & V. Kac*

author keywords: Lie conformal (super)algebras; Poisson vertex (super)algebras; Affine Lie algebras; Virasoro algebra; Basic cohomology; LCA cohomology; Variational PVA cohomology; Energy operator
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: July 27, 2020

2020 journal article

Darboux transformations and Fay identities for the extended bigraded Toda hierarchy*

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 53(6).

By: B. Bakalov n & A. Yadavalli*

author keywords: Darboux transformation; extended bigraded Toda hierarchy; Fay identities; Lax operator; tau-function; wave function; wave operator
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: April 6, 2020

2019 journal article

An operadic approach to vertex algebra and Poisson vertex algebra cohomology

JAPANESE JOURNAL OF MATHEMATICS, 14(2), 249–342.

By: B. Bakalov*, A. De Sole, R. Heluani & V. Kac

UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: October 7, 2019

2019 journal article

TWISTED LOGARITHMIC MODULES OF LATTICE VERTEX ALGEBRAS

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 371(11), 7995–8027.

By: B. Bakalov n & M. Sullivan*

Source: Web Of Science
Added: June 17, 2019

2018 other

Inhomogeneous supersymmetric bilinear forms

By: B. Bakalov* & M. Sullivan

Source: Crossref
Added: July 20, 2019

2016 journal article

Additional symmetries of the extended bigraded Toda hierarchy

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49(5).

By: B. Bakalov n & W. Wheeless n

author keywords: extended bigraded Toda hierarchy; Lax operator; tau-function; Virasoro algebra; wave function; wave operator Mathematics Subject Classification: Primary 37K35; Secondary 37K10; 53D45
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Twisted Logarithmic Modules of Vertex Algebras

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 345(1), 355–383.

By: B. Bakalov n

Source: Web Of Science
Added: August 6, 2018

2016 journal article

Twisted logarithmic modules of free field algebras

JOURNAL OF MATHEMATICAL PHYSICS, 57(6).

By: B. Bakalov n & M. Sullivan n

Source: Web Of Science
Added: August 6, 2018

2015 journal article

Bosonizations of (sl)over-cap(2) and Integrable Hierarchies

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 11.

By: B. Bakalov n & D. Fleisher

author keywords: affine Kac-Moody algebra; Casimir element; Friedan-Martinec-Shenker bosonization; lattice vertex algebra; Virasoro algebra; Wakimoto realization
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Orbifolds of lattice vertex algebras under an isometry of order two

JOURNAL OF ALGEBRA, 441, 57–83.

By: B. Bakalov n & J. Elsinger*

author keywords: Lattice vertex algebra; Orbifold algebra; Twisted module; Intertwining operator; Dynkin diagram automorphism
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>K

Advances in Mathematics, 232(1), 188–237.

By: B. Bakalov n, A. D’Andrea & V. Kac*

author keywords: Lie pseudoalgebra; Lie-Cartan algebra of vector fields; Hopf algebra; Rumin complex
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Crossref
Added: July 20, 2019

2013 journal article

W-constraints for the total descendant potential of a simple singularity

COMPOSITIO MATHEMATICA, 149(5), 840–888.

By: B. Bakalov n & T. Milanov*

author keywords: Frobenius manifold; simple singularity; total descendant potential; vertex algebra; W-algebra
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Non-linear Lie conformal algebras with three generators

SELECTA MATHEMATICA-NEW SERIES, 14(2), 163–198.

By: B. Bakalov n & A. Sole*

author keywords: Vertex algebra; affine Kac-Moody algebra; non-linear Lie conformal algebra
Source: Web Of Science
Added: August 6, 2018

2009 conference paper

Vertex (Lie) algebras in higher dimensions

In J. L. Birman, S. Catto, & B. Nicolescu (Eds.), Proceedings of the XXVI International Colloquium on Group Theoretical Methods in Physics (pp. 15–20). Exeter, UK: Canon Publishing Ltd.

By: B. Bakalov

Ed(s): J. Birman, S. Catto & B. Nicolescu

Source: NC State University Libraries
Added: September 23, 2021

2008 journal article

Constructing models of vertex algebras in higher dimensions

Bulgarian Journal of Physics, 35(s1), 36–42.

By: B. Bakalov & N. Nikolov

Source: NC State University Libraries
Added: July 10, 2019

2008 article

Infinite-dimensional Lie algebras in 4D conformal quantum field theory

Bakalov, B., Nikolov, N. M., Rehren, K.-H., & Todorov, I. (2008, May 16). JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol. 41.

By: B. Bakalov n, N. Nikolov*, K. Rehren* & I. Todorov*

Source: Web Of Science
Added: August 6, 2018

2007 journal article

Unitary positive-energy representations of scalar bilocal quantum fields

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 271(1), 223–246.

By: B. Bakalov n, N. Nikolov*, K. Rehren* & I. Todorov*

Source: Web Of Science
Added: August 6, 2018

2006 chapter

Generalized vertex algebras

In H.-D. Doebner & V. K. Dobrev (Eds.), Lie theory and its applications in physics VI (pp. 3–25). Sofia: Heron Press.

By: B. Bakalov & V. Kac

Ed(s): H. Doebner & V. Dobrev

Source: NC State University Libraries
Added: September 23, 2021

2006 journal article

Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S

ADVANCES IN MATHEMATICS, 204(1), 278–346.

By: B. Bakalov n, A. D'Andrea & V. Kac*

author keywords: Lie pseudoalgebra; Lie-Cartan algebra of vector fields; Hopf algebra
UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Jacobi identity for vertex algebras in higher dimensions

JOURNAL OF MATHEMATICAL PHYSICS, 47(5).

By: B. Bakalov n & N. Nikolov*

Source: Web Of Science
Added: August 6, 2018

2004 conference paper

Twisted modules over lattice vertex algebras

In H.-D. Doebner & V. K. Dobrev (Eds.), Lie Theory and Its Applications in Physics V (pp. 3–26).

By: B. Bakalov n & V. Kac*

Ed(s): H. Doebner & V. Dobrev

Event: Proceedings of the Fifth International Workshop

Source: Crossref
Added: January 21, 2021

2003 journal article

International Mathematics Research Notices, 2003(3), 123.

By: B. Bakalov* & V. Kac

Source: Crossref
Added: July 28, 2019

2001 book

Lectures on Tensor Categories and Modular Functors

By: B. Bakalov* & A. Kirillov*

Source: Crossref
Added: April 4, 2021

2001 journal article

Theory of Finite Pseudoalgebras

Advances in Mathematics, 162(1), 1–140.

By: B. Bakalov*, A. D'Andrea & V. Kac*

Source: Crossref
Added: July 20, 2019

2000 journal article

On the Lego-Teichmüller game

Transformation Groups, 5(3), 207–244.

By: B. Bakalov* & A. Kirillov*

Source: Crossref
Added: July 20, 2019

1999 journal article

Cohomology of Conformal Algebras

Communications in Mathematical Physics, 200(3), 561–598.

By: B. Bakalov*, V. Kac & A. Voronov

Source: Crossref
Added: July 20, 2019

1998 chapter

Automorphisms of the Weyl algebra and bispectral operators

In The Bispectral Problem (pp. 3–10).

By: B. Bakalov*, E. Horozov & M. Yakimov

Source: Crossref
Added: July 20, 2019

1998 journal article

Highest weight modules over the W_(1+∞) algebra and the bispectral problem

Duke Mathematical Journal, 93(1), 41–72.

By: B. Bakalov*, E. Horozov & M. Yakimov

Source: Crossref
Added: January 24, 2021

1997 journal article

Bispectral Algebras of Commuting Ordinary Differential Operators

Communications in Mathematical Physics, 190(2), 331–373.

By: B. Bakalov*, E. Horozov* & M. Yakimov*

Source: Crossref
Added: July 28, 2019

1997 journal article

Highest weight modules of W_(1+∞), Darboux transformations and the bispectral problem

Serdica Mathematical Journal, 23(2), 95–112.

By: B. Bakalov, E. Horozov & M. Yakimov

Source: NC State University Libraries
Added: September 23, 2021

1996 chapter

A QFT approach to W_(1+∞)

In A. Ganchev (Ed.), New trends in quantum field theory (pp. 147–158). Sofia, Bulgaria: Heron Press.

By: B. Bakalov, L. Georgiev & I. Todorov

Ed(s): A. Ganchev

Source: NC State University Libraries
Added: September 23, 2021

1996 journal article

Bäcklund-Darboux transformations in Sato's Grassmannian

Serdica Mathematical Journal, 22(4), 571–586.

By: B. Bakalov, E. Horozov & M. Yakimov

Source: NC State University Libraries
Added: September 23, 2021

1996 journal article

General methods for constructing bispectral operators

Physics Letters A, 222(1-2), 59–66.

By: B. Bakalov*, E. Horozov* & M. Yakimov*

Source: Crossref
Added: July 28, 2019

1996 journal article

Tau-functions as highest weight vectors for W_(1+∞) algebra

Journal of Physics A: Mathematical and General, 29(17), 5565–5573.

By: B. Bakalov*, E. Horozov* & M. Yakimov*

Source: Crossref
Added: January 24, 2021

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