M-traces in (non-unimodular) pivotal categories

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.

15 pages. In the revised version several arguments are corrected, references are updated. To appear in Algebra and Representation Theory