M-traces in (Non-Unimodular) Pivotal Categories

被引：14

作者：

Geer, Nathan ^{[1
]}

Kujawa, Jonathan ^{[2
]}

Patureau-Mirand, Bertrand ^{[3
]}

机构：

[1] Utah State Univ, Math & Stat, Logan, UT 84322 USA

[2] Univ Oklahoma, Math Dept, Norman, OK 73019 USA

[3] Univ Bretagne Sud, CNRS, UMR 6205, LMBA, F-56000 Vannes, France

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2022年 / 25卷 / 03期

关键词：

Tensor categories; Pivotal categories; Modified traces; Calabi-Yau categories; Hopf algebras;

D O I：

10.1007/s10468-021-10044-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：759 / 776

页数：18

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Alperin, 1986, CAMBRIDGE STUDIES AD, V11, DOI 10.1017/CBO9780511623592

[2]

Andruskiewitsch, 2017, ARXIV170100153

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