**BÝLKENT **

**REPRESENTATION
THEORY**

**"The
Algebra of Essential Relations on a Finite Set"**

By

# SERGE BOUC

# (Universite de
Picardie)

**Abstract:** In
this joint work with Jacques Thévenaz, we study the
structure of the algebra E(X) of essential relations on a finite set X: this algebra (which doesn't seem to
have been considered so far) is the quotient of the algebra of the monoid of all
relations on X by the submodule generated by
relations which factor through a
(strictly) smaller set. In particular, we determine all the simple E(X)-modules.

**Date: ****Tueday****, May 28, 2013**

**Time: ****14.00-15.00**

**Place: ****Mathematics Seminar Room,
SA-141**

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**All are most cordially invited.**

Tea and cookies will be served after the talk.