The half-quantum group U^>=0
Rings and Algebras
2009-08-07 v1 Quantum Algebra
Abstract
Let U^>=0 denote the half quantum group for a fixed simple Lie algebra. We examine some properties and representation of U^>=0. We prove that the Hopf algebra U^>=0 is not quasi-cocommutative, and hence the category of left U^>=0-module is not a braided monoidal category. In the weight module category W, we describe all the simple objects and the projective objects. We also describe all simple Yetter-Drinfel'd U^>=0-weight modules.
Cite
@article{arxiv.0908.0916,
title = {The half-quantum group U^>=0},
author = {Z. Wang and H. X. Chen},
journal= {arXiv preprint arXiv:0908.0916},
year = {2009}
}
Comments
16pages