Irreducible quantum group modules with finite dimensional weight spaces. I
Representation Theory
2015-07-24 v3 Quantum Algebra
Abstract
In this paper we classify all simple weight modules for a quantum group at a complex root of unity when the Lie algebra is not of type . By a weight module we mean a finitely generated -module which has finite dimensional weight spaces and is a sum of those. Our approach follows the procedures used by S. Fernando and O. Mathieu to solve the corresponding problem for semisimple complex Lie algebras.
Cite
@article{arxiv.1504.07042,
title = {Irreducible quantum group modules with finite dimensional weight spaces. I},
author = {Dennis Hasselstrøm Pedersen},
journal= {arXiv preprint arXiv:1504.07042},
year = {2015}
}
Comments
37 pages