English

Module categories over representations of $SL_q(2)$ in the non-semisimple case

Quantum Algebra 2007-05-23 v2 Category Theory

Abstract

We classify semisimple module categories over the tensor category of representations of quantum SL(2) extending previous results to the roots of unity and positive characteristic cases.

Keywords

Cite

@article{arxiv.math/0509530,
  title  = {Module categories over representations of $SL_q(2)$ in the non-semisimple case},
  author = {Victor Ostrik},
  journal= {arXiv preprint arXiv:math/0509530},
  year   = {2007}
}

Comments

10 pages, title is changed, proofs of Lemma 2.6 and Proposition 2.7 are expanded, other minor changes