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The Casimir number of a finite rigid tensor category
时间  Datetime
2018-05-17 09:00 — 10:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
李立斌
单位  Affiliation
扬州大学
邀请人  Host
Pu Zhang
报告摘要  Abstract

In this talk, we deals with the Casimir number of a rigid tensor category with finitely many isomorphism classes of indecomposable objects over an algebraically closed field k. The first part of this talk is concerned with the question when the Green algebra is Jacobson semi-simple. It turns out that the Green algebra is Jacobson semi-simple if and only if the Casimir number is not zero. In the second part we shall focus on the case where the tensor category is the representation category of a cyclic group G with order p over a field k with char k=p. In this case, the Casimir number is computable. This leads to a complete description of the Jacobson radical of the Green algebra.