Simple Modules For Twisted Hamiltonian Extended Affine Lie Algebras
Representation Theory
2024-05-07 v3
Abstract
In this paper, we consider the twisted Hamiltonian extended affine Lie algebra (THEALA). We classify the irreducible integrable modules for these Lie algebras with finite-dimensional weight spaces when the finite-dimensional center acts non-trivially. This Lie algebra has a triangular decomposition, which is different from the natural triangular decomposition of twisted full toroidal Lie algebra. Any irreducible integrable module of it is the highest weight module with respect to the given triangular decomposition. In this paper, we describe the highest-weight space in detail.
Cite
@article{arxiv.2304.07749,
title = {Simple Modules For Twisted Hamiltonian Extended Affine Lie Algebras},
author = {Santanu Tantubay and Priyanshu Chakraborty and Punita Batra},
journal= {arXiv preprint arXiv:2304.07749},
year = {2024}
}
Comments
Final revised version, to be appear in Linear algebra and its applications. arXiv admin note: text overlap with arXiv:2105.02000