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Updated: November 23rd, 2023 05:01

2023 article

Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras

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

Source: Web Of Science

Added: September 11, 2023

2023 article

Orbifolds of lattice vertex algebras

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

co-author countries:
Bulgaria 🇧🇬 United States of America 🇺🇸

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*.

co-author countries:
Bulgaria 🇧🇬 United States of America 🇺🇸

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*.

co-author countries:
United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸

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*.

co-author countries:
Brazil 🇧🇷 Italy 🇮🇹 United States of America 🇺🇸

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*.

co-author countries:
United States of America 🇺🇸

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).

co-author countries:
United States of America 🇺🇸

Source: Web Of Science

Added: March 29, 2021

2020 journal article

Chiral Versus Classical Operad

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

co-author countries:
Brazil 🇧🇷 Italy 🇮🇹 United States of America 🇺🇸

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).

co-author countries:
Italy 🇮🇹 United States of America 🇺🇸

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).

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.

co-author countries:
Brazil 🇧🇷 Italy 🇮🇹 United States of America 🇺🇸

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.

co-author countries:
United States of America 🇺🇸

Source: Web Of Science

Added: June 17, 2019

2018 other

Inhomogeneous supersymmetric bilinear forms

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).

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.

co-author countries:
United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2016 journal article

Twisted logarithmic modules of free field algebras

*JOURNAL OF MATHEMATICAL PHYSICS*, *57*(6).

co-author countries:
United States of America 🇺🇸

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*.

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.

co-author countries:
United States of America 🇺🇸

Source: Web Of Science

Added: August 6, 2018

2013 journal article

Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type K

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

co-author countries:
United States of America 🇺🇸

author keywords: Lie pseudoalgebra; Lie-Cartan algebra of vector fields; Hopf algebra; Rumin complex

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.

co-author countries:
Japan 🇯🇵 United States of America 🇺🇸

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.

co-author countries:
Italy 🇮🇹 United States of America 🇺🇸

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.

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.

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.

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.

co-author countries:
Bulgaria 🇧🇬 Germany 🇩🇪 United States of America 🇺🇸

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.

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.

co-author countries:
United States of America 🇺🇸

author keywords: Lie pseudoalgebra; Lie-Cartan algebra of vector fields; Hopf algebra

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).

co-author countries:
Bulgaria 🇧🇬 United States of America 🇺🇸

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).

co-author countries:
United States of America 🇺🇸

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.

Source: Crossref

Added: July 28, 2019

2001 book

Lectures on Tensor Categories and Modular Functors

co-author countries:
United States of America 🇺🇸

Source: Crossref

Added: April 4, 2021

2001 journal article

Theory of Finite Pseudoalgebras

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

co-author countries:
United States of America 🇺🇸

Source: Crossref

Added: July 20, 2019

2000 journal article

On the Lego-Teichmüller game

*Transformation Groups*, *5*(3), 207–244.

co-author countries:
United States of America 🇺🇸

Source: Crossref

Added: July 20, 2019

1999 journal article

Cohomology of Conformal Algebras

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

Source: Crossref

Added: July 20, 2019

1998 chapter

Automorphisms of the Weyl algebra and bispectral operators

In *The Bispectral Problem* (pp. 3–10).

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.

Source: Crossref

Added: January 24, 2021

1997 journal article

Bispectral Algebras of Commuting Ordinary Differential Operators

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

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.

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.

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.

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.

co-author countries:
Bulgaria 🇧🇬

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.

co-author countries:
Bulgaria 🇧🇬

Source: Crossref

Added: January 24, 2021