English

Module categories over pointed Hopf algebras

Quantum Algebra 2009-06-23 v3 Rings and Algebras

Abstract

We develop some techniques to the study of exact module categories over some families of pointed finite-dimensional Hopf algebras. As an application we classify exact module categories over the tensor category of representations of the small quantum groups uq(sl2)u_q(\mathfrak{sl}_2).

Keywords

Cite

@article{arxiv.0811.4090,
  title  = {Module categories over pointed Hopf algebras},
  author = {Martin Mombelli},
  journal= {arXiv preprint arXiv:0811.4090},
  year   = {2009}
}

Comments

31 pages, typos and other errors corrected. Some improvements on Lemma 5.5 have been done. Section 8.2 was corrected

R2 v1 2026-06-21T11:45:07.411Z