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M-traces in (Non-Unimodular) Pivotal Categories
Algebras and Representation Theory ( IF 0.6 ) Pub Date : 2021-03-23 , DOI: 10.1007/s10468-021-10044-y Nathan Geer , Jonathan Kujawa , Bertrand Patureau-Mirand
中文翻译:
(非单模)关键类别中的M迹线
更新日期:2021-03-23
Algebras and Representation Theory ( IF 0.6 ) Pub Date : 2021-03-23 , DOI: 10.1007/s10468-021-10044-y Nathan Geer , Jonathan Kujawa , Bertrand Patureau-Mirand
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.
中文翻译:
(非单模)关键类别中的M迹线
我们将修改迹线(或m迹线)的概念推广到非单模类别的设置。已知M迹线在低维拓扑和表示理论以及研究类别本身中起着重要作用。在温和的条件下,我们给出关键类别中m迹的存在性和唯一性结果。