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Seminario: “n-representation infinite algebras from skew group algebras of metacyclic groups”

Giovedì 29 Giugno 2017, ore 10:00 - Aula 1BC45 - Simone Giovannini

ARGOMENTI: Seminari

Giovedì 29 Giugno 2017 alle ore 10:00 in Aula 1BC45, Simone Giovannini (Dottorando del DM) terrà un seminario dal titolo “n-representation infinite algebras from skew group algebras of metacyclic groups”.

Abstract
n-representation infinite algebras were introduced by Herschend, Iyama and Oppermann in the context of higher dimensional Auslander-Reiten theory, in order to generalize the classical hereditary representation infinite algebras. Using the fact that these algebras are in bijection with bimodule (n+1)-Calabi-Yau algebras of Gorenstein parameter 1, we will show that examples of them can be obtained from skew group algebras of finite subgroups of SL(n+1,C). In particular we will show the existence of two families of n-RI algebras using respectively some abelian and metacyclic groups. These can be thought as a generalization of the classical type A and D cases.