Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras

Bojko Bakalov; Samantha Kirk

doi:10.1063/5.0028122

ScienceGate Book Chapters

JOURNAL ARTICLE

Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras

Bojko Bakalov Samantha Kirk

Year: 2021 Journal: Journal of Mathematical Physics Vol: 62 (3) Publisher: American Institute of Physics

DOI: 10.1063/5.0028122

Get Full-Text PDF Get Analytical Report

Abstract

Given a simple finite-dimensional Lie algebra and an automorphism of finite order, one defines the notion of a twisted toroidal Lie algebra. In this paper, we construct representations of twisted toroidal Lie algebras from twisted modules over affine and lattice vertex algebras.

Keywords:

Lie conformal algebra Mathematics Affine Lie algebra Lie algebra Toroid Pure mathematics Adjoint representation of a Lie algebra Vertex (graph theory) Current algebra Automorphism Killing form Affine transformation Non-associative algebra Algebra over a field Physics Discrete mathematics Quantum mechanics

Metrics

Cited By

0.37

FWCI (Field Weighted Citation Impact)

Refs

0.55

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Citation History

Topics

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Nonlinear Waves and Solitons

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras

Abstract

Metrics

Citation History

Topics

Related Documents

Twisted modules for toroidal vertex algebras

TWISTED MODULES OVER LATTICE VERTEX ALGEBRAS

A generalization of twisted modules over vertex algebras

Twisted modules over vertex algebras on algebraic curves

Twisted Logarithmic Modules of Vertex Algebras