Is this your profile?

Claim your Citation Index profile in order to display more information about you and gain access to Libraries services. Just create or connect your ORCID iD.

Create or connect your ORCID iD

2022 article

Logarithmic Vertex Algebras

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

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*.

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*.

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).

Source: Web Of Science

Added: March 29, 2021

2020 journal article

Chiral Versus Classical Operad

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

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).

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.

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.

Source: Web Of Science

Added: June 17, 2019

2018 other

Inhomogeneous supersymmetric bilinear forms

Source: Crossref

Added: July 20, 2019

2016 journal article

Twisted logarithmic modules of free field algebras

*Journal of Mathematical Physics*, *57*(6).

Source: NC State University Libraries

Added: August 6, 2018

2016 journal article

Twisted logarithmic modules of vertex algebras

*Communications in Mathematical Physics*, *345*(1), 355–383.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Additional symmetries of the extended bigraded Toda hierarchy

*Journal of Physics. A, Mathematical and Theoretical*, *49*(5).

Source: NC State University Libraries

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: NC State University Libraries

Added: August 6, 2018

2015 journal article

Orbifolds of lattice vertex algebras under an isometry of order two

*Journal of Algebra*, *441*, 57–83.

Source: NC State University Libraries

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.

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.

Source: NC State University Libraries

Added: August 6, 2018

2009 journal article

Non-linear Lie conformal algebras with three generators

*Selecta Mathematica (Basel, Switzerland)*, *14*(2), 163–198.

Source: NC State University Libraries

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 journal article

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

*Journal of Physics. A, Mathematical and Theoretical*, *41*(19).

Source: NC State University Libraries

Added: August 6, 2018

2007 journal article

Unitary positive-energy representations of scalar bilocal quantum fields

*Communications in Mathematical Physics*, *271*(1), 223–246.

Source: NC State University Libraries

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.

Source: NC State University Libraries

Added: August 6, 2018

2006 journal article

Jacobi identity for vertex algebras in higher dimensions

*Journal of Mathematical Physics*, *47*(5).

Source: NC State University Libraries

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).

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

Source: Crossref

Added: April 4, 2021

2001 journal article

Theory of Finite Pseudoalgebras

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

Source: Crossref

Added: July 20, 2019

2000 journal article

On the Lego-Teichmüller game

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

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.

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.

Source: Crossref

Added: January 24, 2021