#### Chandrasekhar Hall

#### Idempotents in path algebras

#### Rishi Vyas

##### Krea University

*Roughly, an idempotented algebra is an associative algebra equipped with a*

system of local units. While every unital algebra is idempotented there are

important non-unital examples, such as algebras which arise in the complex

representation theory of certain p-adic groups, or path algebras of quivers

with infinitely many vertices.

In this talk we will discuss properties associated to certain types of

distinguished idempotents in idempotented algebras, and completely

characterise these distinguished idempotents in algebras that arise as path

algebras of quivers.

This talk is meant to be introductory in nature, and foundational

definitions and background information will be provided. The work described

in this talk is joint with Arnab Mitra.

Done