Results 71 to 80 of about 357,547 (242)

Conformal Lie 2-algebras and conformal omni-Lie algebras [PDF]

arXiv, 2022
The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2-term conformal $L_{\infty}$-algebras are equivalent. We construct conformal Lie 2-algebras from conformal omni-Lie algebras and Leibniz conformal algebras.
arxiv  

Finite growth representations of infinite Lie conformal algebras [PDF]

Journal of Mathematical Physics, 2003
We classify all finite growth representations of all infinite rank subalgebras of the Lie conformal algebra gc1 that contain a Virasoro subalgebra.
Carina Boyallían, Victor G. Kač, José I. Liberati   +2 more
openalex   +6 more sources

Generalizing the $$\mathfrak {bms}_{3}$$ bms3 and 2D-conformal algebras by expanding the Virasoro algebra

European Physical Journal C: Particles and Fields, 2018
By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the $$\mathfrak {bms}_{3}$$ bms3 algebra are obtained from the Virasoro algebra.
Ricardo Caroca, Patrick Concha, Evelyn Rodríguez, Patricio Salgado-Rebolledo   +3 more
doaj   +1 more source

Irreducible Modules over Finite Simple Lie Pseudoalgebras I. Primitive Pseudoalgebras of Type W and S

, 2005
One of the algebraic structures that has emerged recently in the study of the operator product expansions of chiral fields in conformal field theory is that of a Lie conformal algebra [K].
Bojko Bakalov, Bojko Bakalov, G. Kac, Primitive Pseudoalgebras Of Type W, Victor, Victor G. Kac   +5 more
core   +2 more sources

Conformal oscillator representations of orthogonal Lie algebras [PDF]

Science China Mathematics, 2015
13pages
openaire   +3 more sources

Central extensions and conformal derivations of a class of Lie conformal algebras [PDF]

Linear and Multilinear Algebra, 2020
21 pages. We add some results on the central extensions of quadratic Lie conformal algebras by a one-dimensional center $\mathbb{C}\mathfrak{c}_\beta$ and an abelian Lie conformal algebra $\mathbb{C}[\partial]\mathfrak{c}$ which is free of rank ...
openaire   +2 more sources

Finite vertex algebras and nilpotence [PDF]

, 2007
I show that simple finite vertex algebras are commutative, and that the Lie conformal algebra structure underlying a reduced (i.e., without nilpotent elements) finite vertex algebra is nilpotent.Comment: 24 ...
Alessandro D’Andrea, Bakalov, Bakalov, Bakalov, Borcherds, Borcherds, Dong, Dong, D’Andrea, Frenkel, Kac, Li, Primc, Roitman   +13 more
core   +3 more sources

Deformations and generalized derivations of Lie conformal superalgebras [PDF]

J. Math. Phys.2017, 58(1),111702-17, 2016
The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Lie conformal superalgebras. Firstly, we construct the semidirect product of a Lie conformal superalgebra and its conformal module, and study derivations of this semidirect product. Secondly, we develop cohomology theory of
arxiv   +1 more source

Freely Generated Vertex Algebras and Non?Linear Lie Conformal Algebras [PDF]

Communications in Mathematical Physics, 2005
We introduce the notion of a non--linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded freely generated vertex algebra is the universal enveloping algebra of a non--linear Lie conformal superalgebra.
DE SOLE, ALBERTO, KAC V.
openaire   +4 more sources

$\Gamma$-Conformal Algebras

, 1997
$\Gamma$-conformal algebra is an axiomatic description of the operator product expansion of chiral fields with simple poles at finitely many points. We classify these algebras and their representations in terms of Lie algebras and their representations ...
Golenishcheva-Kutuzova, Maria, Kac, Victor   +1 more
core   +1 more source