Pseudoblocks of Finite Dimensional Algebras

Year 2020, , 61 - 69, 10.06.2020

Afaf Alharthi , Ahmed Khammash

https://doi.org/10.33401/fujma.691602

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

References

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