Weyl modules for toroidal Lie algebras
Representation Theory
2022-03-04 v1
Abstract
In this paper we study Weyl modules for a toroidal Lie algebra with arbitrary variables. Using the work of Rao \cite{1995}, we prove that the level one global Weyl modules of are isomorphic to suitable submodules of a Fock space representation of upto a twist. As an application, we compute the graded character of the level one local Weyl module of , thereby generalising the work of Kodera \cite{ko}.
Cite
@article{arxiv.2203.01715,
title = {Weyl modules for toroidal Lie algebras},
author = {Sudipta Mukherjee and Santosha Kumar Pattanayak and Sachin S. Sharma},
journal= {arXiv preprint arXiv:2203.01715},
year = {2022}
}
Comments
Preliminary version, comments are welcome