Results 21 to 30 of about 357,547 (242)
Lie Conformal Algebra Cohomology and the Variational Complex [PDF]
Communications in Mathematical Physics, 2008 We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories.
A. Sole, V. Kac
semanticscholar +8 more sources
Loop Heisenberg-Virasoro Lie Conformal algebra [PDF]
Journal of Mathematical Physics, 2014 Let $HV$ be the loop Heisenberg-Virasoro Lie algebra over $\C$ with basis $\{L_{\a,i},H_{\b,j}\,|\,\a,\,\b,i,j\in\Z\}$ and brackets $[L_{\a,i},L_{\b,j}]=(\a-\b)L_{\a+\b,i+j}, [L_{\a,i},H_{\b,j}]=-\b H_{\a+\b,i+j},[H_{\a,i},H_{\b,j}]=0$.
Guangzhe Fan, Yu-cai Su, Henan Wu
semanticscholar +7 more sources
Deformations and generalized derivations of Hom-Lie conformal algebras [PDF]
SCIENCE CHINA Mathematics, 2017, 2016 The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lie conformal algebras.
Jun Zhao, Lamei Yuan, Liangyun Chen
arxiv +7 more sources
Structure of a class of Lie conformal algebras of Block type [PDF]
Communications in Algebra, 2019 Let p be a nonzero complex number. Recently, a class of infinite rank Lie conformal algebras was introduced. In this article, we study structure theory of this class of Lie conformal algebras.
Wei Wang, Chunguang Xia, Li Liu
semanticscholar +9 more sources
Loop Virasoro Lie Conformal Algebra [PDF]
Journal of Mathematical Physics, 2013 The Lie conformal algebra of loop Virasoro algebra, denoted by $\mathscr{CW}$, is introduced in this paper. Explicitly, $\mathscr{CW}$ is a Lie conformal algebra with $\mathbb{C}[\partial]$-basis $\{L_i\,|\,i\in\mathbb{C}\}$ and $\lambda$-brackets $[L_i\,
Henan Wu, Qiufan Chen, Xiaoqing Yue
semanticscholar +5 more sources
A remark on simplicity of vertex algebras and Lie conformal algebras [PDF]
Journal of Algebra, 2006 I give a short proof of the following algebraic statement: if a vertex algebra is simple, then its underlying Lie conformal algebra is either abelian, or it is an irreducible central extension of a simple Lie conformal algebra.Comment: 6 pages.
Alessandro D'Andrea +14 more
core +7 more sources
On the Ado Theorem for finite Lie conformal algebras with Levi decomposition [PDF]
, 2012 We prove that a finite torsion-free conformal Lie algebra with a splitting solvable radical has a finite faithful conformal representation.Comment: 11 ...
Jacobson N. +4 more
core +2 more sources
On some derivations of Lie conformal superalgebras [PDF]
arXiv, 2023 Let $\mathcal{R}$ be a Lie conformal superalgebra. In this paper, we first investigate the conformal derivation algebra $CDer(\mathcal{R})$, the conformal triple derivation algebra $CTDer(\mathcal{R})$, and the generalized conformal triple derivation ...
Asif, Sania, Luo, Lipeng
core +1 more source
Asymptotic symmetries of three dimensional gravity and the membrane paradigm
Journal of High Energy Physics, 2019 The asymptotic symmetry group of three-dimensional (anti) de Sitter space with Brown-Henneaux boundary conditions is the two dimensional conformal group with central charge c = 3ℓ/2G.
Mariana Carrillo-González +1 more
doaj +3 more sources
Loop Schr\"odinger-Virasoro Lie conformal algebra [PDF]
International Journal of Mathematics, 2015 In this paper, we introduce two kinds of Lie conformal algebras associated with the loop Schr\"odinger-Virasoro Lie algebra and the extended loop Schr\"odinger-Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of
Haibo Chen +3 more
semanticscholar +4 more sources