Results 41 to 50 of about 297,060 (285)

String partition functions, Hilbert schemes and affine Lie algebra representations on homology groups [PDF]

, 2012
This review paper contains a concise introduction to highest weight representations of infinite-dimensional Lie algebras, vertex operator algebras and Hilbert schemes of points, together with their physical applications to elliptic genera of ...
L. Bonora, A. Bytsenko, E. Elizalde
semanticscholar   +1 more source

Realization of locally extended affine Lie algebras of type $A_1$ [PDF]

Categories and General Algebraic Structures with Applications, 2016
Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras.
Gholamreza Behboodi
doaj  

Nonassociative Algebras: A Framework for Differential Geometry

International Journal of Mathematics and Mathematical Sciences, 2003
A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
doaj   +1 more source

Galilean free Lie algebras

Journal of High Energy Physics, 2019
We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and ...
Joaquim Gomis, Axel Kleinschmidt, Jakob Palmkvist   +2 more
doaj   +1 more source

A topological conjugacy of invariant flows on some class of Lie groups

Boletim da Sociedade Paranaense de Matemática, 2019
The aim of this paper is to classify invariant flows on Lie group $G$ whose Lie algebra $\mathfrak{g}$ is associative or semisimple. Specifically, we present this classification from the hyperbolicity of the lift flows on $G \times \mathfrak{g}$. Then we
Alexandre J. Santana, Simão N. Stelmastchuk   +1 more
doaj   +1 more source

Chevalley involutions for Lie tori and extended affine Lie algebras [PDF]

arXiv, 2023
In finite-dimensional simple Lie algebras and affine Kac-Moody Lie algebras, Chevalley involutions are crucial ingredients of the modular theory. Towards establishing the modular theory for extended affine Lie algebras, we investigate the existence of ``Chevalley involutions" for Lie tori and extended affine Lie algebras. We first discuss how to lift a
arxiv  

Multipartitions, generalized Durfee squares and affine Lie algebra characters [PDF]

Journal of the Australian Mathematical Society, 2000
We give some higher dimensional analogues of the Durfee square formula and point out their relation to dissections of multipartitions. We apply the results to write certain affine Lie algebra characters in terms of Universal Chiral Partition Functions.
P. Bouwknegt
semanticscholar   +1 more source

The geometry of Casimir W-algebras

SciPost Physics, 2018
Let $\mathfrak{g}$ be a simply laced Lie algebra, $\widehat{\mathfrak{g}}_1$ the corresponding affine Lie algebra at level one, and $\mathcal{W}(\mathfrak{g})$ the corresponding Casimir W-algebra.
Raphaël Belliard, Bertrand Eynard, Sylvain Ribault
doaj   +1 more source

Fermionic and Bosonic Representations of the Extended Affine Lie Algebra $\widetilde{\mathfrak{g}{{\mathfrak{l}}_{N}}\left( {{\mathbb{C}}_{q}} \right)}$

Canadian mathematical bulletin, 2002
We construct a class of fermions (or bosons) by using a Clifford (or Weyl) algebra to get two families of irreducible representations for the extended affine Lie algebra $\widetilde{\mathfrak{g}{{\mathfrak{l}}_{N}}\left( {{\mathbb{C}}_{q}} \right)}$ of ...
Yung Gao
semanticscholar   +1 more source

Struktur Simplektik pada Aljabar Lie Affine aff(2,R)

Jambura Journal of Mathematics
In this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie ...
Aurillya Queency, Edi Kurniadi, Firdaniza Firdaniza   +2 more
doaj   +1 more source