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March 9, 2015

Don Passman, University of Wisconsin

Traces of Algebraic Elements in Group Algebras

**Abstract**:

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If K[G] denotes the group algebra of G over the field K, then the
trace map tr: K[G] -> K picks off the identity coefficient of each
element of the ring. In this talk, I will discuss what is known about
traces of algebraic elements of K[G]. Of particular interest are the
traces of idempotents and nilpotent elements. If time permits, I
will also consider analogous results for twisted group algebras.