Representations of Twisted Toroidal Lie Algebras from Twisted Modules over Vertex Algebras

Published 2 Sep 2020 in math.QA | (2009.01321v2)

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.

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