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M-traces in (non-unimodular) pivotal categories (1809.00499v2)
Published 3 Sep 2018 in math.RT, math.CT, and math.QA
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.