The Trace on Projective Representations of Quantum Groups
Document Type
Article
Journal/Book Title/Conference
Letters in Mathematical Physics
Volume
108
Publisher
Springer Netherlands
Publication Date
10-6-2017
Award Number
NSF, Division of Mathematical Sciences 1664387
Funder
NSF, Division of Mathematical Sciences
First Page
117
Last Page
140
Abstract
For certain roots of unity, we consider the categories of weight modules over three quantum groups: small, unrestricted 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.
Recommended Citation
Geer, N., Patureau-Mirand, B. The trace on projective representations of quantum groups. Lett Math Phys 108, 117–140 (2018). https://doi.org/10.1007/s11005-017-0993-4
