View Proposal #257

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ID257
First NameMichael
Last NameHilgemann
InstitutionIowa State University
Speaker Categorygraduate student
Title of TalkThe classification of finite-dimensional Hopf algebras
AbstractHopf algebras can be considered generalizations of groups, and group algebras are basic examples of such objects. In recent years there have been developments in the classification of finite-dimensional Hopf algebras over an algebraically closed field of characteristic 0, which include many examples which are neither group algebras nor the linear dual of group algebras. In this talk, we will highlight these classification results and some of the useful properties that general finite-dimensional Hopf algebras share with finite group algebras. In particular, we will discuss recent joint work with Richard Ng that completes the classification of Hopf algebras of dimension 2p^2, for p an odd prime.
Subject area(s)Algebra
Suitable for undergraduates?No
Day Preference
Computer Needed?
Bringing a laptop?N
Overhead Needed?N
Software requests
Special Needs
Date Submitted9/20/2009
Year2009