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Works (44)
Updated: November 27th, 2024 05:02
2024 journal article
Classification of dynamical Lie algebras of 2-local spin systems on linear, circular and fully connected topologies
NPJ QUANTUM INFORMATION, 10(1).
open access via doi.org (publisher)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: November 6, 2024
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 journal article
Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 404(1), 185–226.
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.
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.
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.
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.
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.
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).
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
Source: Web Of Science
Added: March 29, 2021
2020 journal article
Computation of cohomology of Lie conformal and Poisson vertex algebras
SELECTA MATHEMATICA-NEW SERIES, 26(4).
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
2019 journal article
An operadic approach to vertex algebra and Poisson vertex algebra cohomology
JAPANESE JOURNAL OF MATHEMATICS, 14(2), 249–342.
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
Source: Web Of Science
Added: October 7, 2019
2019 journal article
Chiral Versus Classical Operad
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020(19), 6463–6488.
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
Source: Web Of Science
Added: January 4, 2021
2019 journal article
Darboux transformations and Fay identities for the extended bigraded Toda hierarchy*
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 53(6).
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
2018 other
Inhomogeneous supersymmetric bilinear forms
Source: Crossref
Added: July 20, 2019
2018 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
2016 journal article
Twisted logarithmic modules of free field algebras
JOURNAL OF MATHEMATICAL PHYSICS, 57(6).
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Additional symmetries of the extended bigraded Toda hierarchy
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49(5).
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
2015 journal article
Bosonizations of (sl)over-cap(2) and Integrable Hierarchies
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 11.
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.
author keywords: Lattice vertex algebra; Orbifold algebra; Twisted module; Intertwining operator; Dynkin diagram automorphism
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Twisted Logarithmic Modules of Vertex Algebras
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 345(1), 355–383.
Source: Web Of Science
Added: August 6, 2018
2013 journal article
W-constraints for the total descendant potential of a simple singularity
COMPOSITIO MATHEMATICA, 149(5), 840–888.
author keywords: Frobenius manifold; simple singularity; total descendant potential; vertex algebra; W-algebra
Source: Web Of Science
Added: August 6, 2018
2012 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.
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
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
2008 journal article
Non-linear Lie conformal algebras with three generators
SELECTA MATHEMATICA-NEW SERIES, 14(2), 163–198.
author keywords: Vertex algebra; affine Kac-Moody algebra; non-linear Lie conformal algebra
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.
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
Jacobi identity for vertex algebras in higher dimensions
JOURNAL OF MATHEMATICAL PHYSICS, 47(5).
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S
ADVANCES IN MATHEMATICS, 204(1), 278–346.
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
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 journal article
Theory of Finite Pseudoalgebras
Advances in Mathematics, 162(1), 1–140.
Source: Crossref
Added: July 20, 2019
2000 book
Lectures on Tensor Categories and Modular Functors
Source: Crossref
Added: April 4, 2021
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
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