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Bibliographic Details
Main Authors: Pandey, Ritesh Kumar, Sharma, Sachin S.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.05539
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Table of Contents:
  • In this paper, we extend the notion of Weyl modules for twisted toroidal Lie algebra $\mathcal{T}(μ)$. We prove that the level one global Weyl modules of $\mathcal{T}(μ)$ are isomorphic to the tensor product of the level one representation of twisted affine Lie algebras and certain lattice vertex algebras. As a byproduct, we calculate the graded character of the level one local Weyl modules of $\mathcal{T}(μ)$.