Rigidity dimension of algebras and examples

发布时间：2021-10-18 作者：浏览次数：

Speaker:	陈红星	DateTime:	2021年10月22日（周五）上午10：00-11:00
Brief Introduction to Speaker: 陈红星，首都师范大学副教授。		Place:	腾讯会议：会议号请联系胡学琴老师
Abstract:Rigidity dimension of algebras is a new homological dimension which measures the quality of resolutions of algebras by algebras of finite global dimension and big dominant dimension. It is related to higher representation dimension, quasi-hereditary covers, Schur-Weyl duality, non-commutative crepant resolutions, Hochschild cohomology and so on. A basic problem on rigidity dimension is how to calculate this dimension for a given algebra. In this talk, we shall introduce some elementary methods to calculate rigidity dimensions of self-injective algebras. As an application, we show that the rigidity dimensions of the trivial extension algebras of hereditary algebras of Dynkin type A_n and D_n (n>3) are 2n and 5, respectively. Coincidently, for A_n and D_4, the rigidity dimension is reached by the dominant dimension of higher Auslander algebra.