M-traces in (non-unimodular) pivotal categories
Representation Theory
2021-03-10 v2 Category Theory
Quantum Algebra
Abstract
We generalize the notion of a modified trace (or m-trace) to the setting of non-unimodular categories. M-traces are known to play an important role in low-dimensional topology and representation theory, as well as in studying the category itself. Under mild conditions we give existence and uniqueness results for m-traces in pivotal categories.
Keywords
Cite
@article{arxiv.1809.00499,
title = {M-traces in (non-unimodular) pivotal categories},
author = {Nathan Geer and Jonathan Kujawa and Bertrand Patureau-Mirand},
journal= {arXiv preprint arXiv:1809.00499},
year = {2021}
}
Comments
15 pages. In the revised version several arguments are corrected, references are updated. To appear in Algebra and Representation Theory