Eirini Chavli, Nakayama algebras and 321-avoiding permutations.

Abstract:

Nakayama algebras appear in modular representation theory of groups and they are defined as quiver algebras having either a linear oriented line as a quiver or a linear oriented cycle. In this talk we will explain the connection of these algebras with a combinatorial object: the 321-avoiding permutations. We will also associate the properties of these permutations with the representation theory and homological algebra of Nakayama algebras (joint work with René Marczinzik).