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

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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… Click to show full 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: algebras twisted; lie; representations twisted; lie algebras; toroidal lie; twisted toroidal

Journal Title: Journal of Mathematical Physics
Year Published: 2020

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