2024/08/10 by Pandey, Ritesh Kumar, Sharma, Sachin S.
#FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2408.05539
In this paper, we extend the notion of Weyl modules for twisted toroidal Lie algebra T(μ). We prove that the level one global Weyl modules of 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 T(μ).