## EVENT DETAILS AND ABSTRACT

**Algebra Seminar**
**Title:** Is there a twisted tensor product theorem for indecomposable modules?

**Speaker:** Professor Steven Doty

**Speaker Info:** Loyola University

**Brief Description:**

**Special Note**:

**Abstract:**

Abstract: Steinberg's twisted tensor product theorem is a linchpin in the
representation theory of algebraic groups. There is some small evidence to
suggest that there may be a generalization of Steinberg's theorem pertaining
to indecomposable direct summands of a tensor product of two given
irreducible modules. In any case, little is known about such
indecomposables, in general, although they often seem to be closely related
to Ringel's tilting modules. I will discuss what is known at present, and
try to explain how this question interfaces with other questions in
representation theory.

**Date:** Tuesday, November 15, 2005

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Eric M. Friedlander

**Contact email:** eric@math.northwestern.edu

**Contact Phone:** 847-491-5577

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