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M-traces in (Non-Unimodular) Pivotal Categories
被引：0
作者：
Nathan Geer
Jonathan Kujawa
Bertrand Patureau-Mirand
机构：
[1] Utah State University,Mathematics & Statistics
[2] University of Oklahoma,Mathematics Department
[3] Université de Bretagne-Sud,LMBA, CNRS UMR 6205
来源：
Algebras and Representation Theory
|
2022年
/
25卷
关键词：
Tensor categories;
Pivotal categories;
Modified traces;
Calabi-Yau categories;
Hopf algebras;
18M05;
57K16;
17B37;
16D90;
16T99;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：759 / 776
页数：17
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