Pseudoblocks of Finite Dimensional Algebras

Authors : Afaf Alharthi, Ahmed Khammash

Pages : 61-69

Doi:10.33401/fujma.691602

View : 19 | Download : 11

Publication Date : 2020-06-10

Article Type : Research

Abstract :The notion of pseudoblocks is borrowed from [1] and introduced to finite-dimensional algebras. We determine the pseudoblocks for several known algebras such as the triangular algebra and the cyclic group algebra. Also, we determine the pseudoblocks for the group algebra of the special linear group $SL(2,p)$ in the natural characteristic being the only finite group of Lie type of finite representation type.
Keywords : Endomorphism algebra, Extensions, Hecke algebras, Modules, Pseudoblocks, Representations, Tensor algebras