English

Factorization of simple modules for certain pointed Hopf algebras

Representation Theory 2007-05-23 v2 Rings and Algebras

Abstract

We study the representations of two types of pointed Hopf algebras: restricted two-parameter quantum groups, and the Drinfel'd doubles of rank one pointed Hopf algebras of nilpotent type. We study, in particular, under what conditions a simple module can be factored as the tensor product of a one dimensional module with a module that is naturally a module for the quotient by central group-like elements.

Keywords

Cite

@article{arxiv.math/0702614,
  title  = {Factorization of simple modules for certain pointed Hopf algebras},
  author = {Mariana Pereira},
  journal= {arXiv preprint arXiv:math/0702614},
  year   = {2007}
}

Comments

24 pages

R2 v1 2026-07-22T17:51:27.050Z