Classification of Finite Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids
Quantum Algebra
2013-09-10 v3 Representation Theory
Abstract
We classify finite-dimensional irreducible highest weight modules of generalized quantum groups whose positive part is infinite dimensional and has a Kharchenko's PBW basis with an irreducible finite positive root system.
Keywords
Cite
@article{arxiv.1105.0160,
title = {Classification of Finite Dimensional Irreducible Representations of Generalized Quantum Groups via Weyl Groupoids},
author = {Saeid Azam and Hiroyuki Yamane and Malihe Yousofzadeh},
journal= {arXiv preprint arXiv:1105.0160},
year = {2013}
}
Comments
59 pages, We give and prove some reduced expressions of the longest elements of not only the Weyl groupoids treated in the paper, but also the finite Weyl groups