Classification of irreducible Harish-Chandra modules over map full toroidal Lie algebras
Representation Theory
2025-08-18 v1
Abstract
A natural higher dimensional analogue of the affine-Virasoro algebra is the full toroidal Lie algebra. In this paper, we classify irreducible Harish-Chandra modules for map full toroidal Lie algebras. We show that every such module is either a cuspidal or a highest weight module. Furthermore, we prove that they turn out to be single point evaluation modules.
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Cite
@article{arxiv.2508.11448,
title = {Classification of irreducible Harish-Chandra modules over map full toroidal Lie algebras},
author = {Sudipta Mukherjee},
journal= {arXiv preprint arXiv:2508.11448},
year = {2025}
}
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20 pages