Determinant and rank functions in semisimple pivotal Ab-categories

We investigate and generalize quantum determinants to semisimple spherical and pivotal categories. It is well known that traces are preserved by strong tensor functors; we show on one hand that in fact, weaker conditions on a functor are sufficient to continue preserving traces. On the other hand, w...

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Bibliographic Details
Main Authors: Khalid Draoui, Hanan Choulli, Hakima Mouanis
Format: Article
Language:English
Published: Shahid Beheshti University 2023-08-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:https://cgasa.sbu.ac.ir/article_103829_ff81f70abc504501a6a6837d564fda92.pdf