English

The trace on projective representations of quantum groups

Quantum Algebra 2017-10-25 v1 Representation Theory

Abstract

For certain roots of unity, we consider the categories of weight modules over three quantum groups: small, un-restricted and unrolled. The first main theorem of this paper is to show that there is a modified trace on the projective modules of the first two categories. The second main theorem is to show that category over the unrolled quantum group is ribbon. Partial results related to these theorems were known previously.

Keywords

Cite

@article{arxiv.1610.09129,
  title  = {The trace on projective representations of quantum groups},
  author = {Nathan Geer and Bertrand Patureau-Mirand},
  journal= {arXiv preprint arXiv:1610.09129},
  year   = {2017}
}

Comments

19 pages

R2 v1 2026-06-22T16:35:02.337Z