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Seminario Dottorato: “Representation finite algebras and generalizations”

Wednesday 6 December 2017, h.14:30 - Room 2BC30 - Simone Giovannini

ARGOMENTI: Seminari Dottorato

Wednesday 6 December 2017 h.14:30, Room 2BC30
Simone Giovannini (Padova, Dip. Mat.)
“Representation finite algebras and generalizations"

Abstract
An algebra is called “representation finite” if it has a finite number of indecomposable modules. Finite dimensional hereditary representation finite algebras are classified by Gabriel's Theorem: they are the path algebras of Dynkin quivers of type ADE. Recently, with the development of higher dimensional Auslander-Reiten theory, some interest has been raised by a generalization in dimension n of these algebras, which are called n-representation finite algebras. In this seminar we will recall some basic definitions and results about representation theory of finite dimensional algebras. Then we will give a naive idea of how some classical notions can be generalized to higher dimension and, finally, we will show some examples of 2-representation finite algebras.

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