Algebra Seminar Archives

DePaul University - Department of Mathematical Sciences

Algebra Seminar Archives (2002-2003) (Note: This is incomplete!)

Speaker/Affiliation	Title/Abstract	Date
Leonid Krop	"Structure of a Quantum Algebra"	November 20, 2002
Jeffery Bergen	"Rings Related to Heisenberg Algebra"	February 3, 2003
David E. Radford	"On Representations of the Quantum Double of a Finite-Dimensional Hopf Algebra"	February 10, 2003
Yorck Sommerhäuser, University of Munich	"On Higher Frobenius-Schur Indicators" Abstract: For a finite group, one can evaluate an irreducible character against the sum of the powers of the group elements. In the case of the sum of the squares of the group elements, the resulting number is called the Frobenius-Schur indicator of the character; the higher powers lead to the higher Frobenius-Schur indicators. All these notions can be generalized to Hopf algebras. We present an analogue of the Frobenius-Schur theorem for higher Frobenius-Schur indicators. Furthermore, we present a divisibility result that generalizes the theorem that a semisimple Hopf algebra that has a nontrivial self-dual simple module must have even dimension.	March 14, 2003
Yorck Sommerhäuser, University of Munich	"On Higher Frobenius-Schur Indicators of the Drinfel'd Double of a Finite Groups" Abstract: We explain what the integrality for the higher Frobenius-Schur indicators of the Drinfel'd double of a finite group means for the group itself, and from this viewpoint discuss various examples.	March 17, 2003