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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Bismash Products and Group Algebras - Matthew Clar
 ke
DTSTART;TZID=Europe/London:20090126T160000
DTEND;TZID=Europe/London:20090126T170000
UID:TALK16403AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/16403
DESCRIPTION:We will begin by introducing Hopf algebras togethe
 r with the easiest examples - group algebras and t
 heir duals - before giving an overview of the clas
 sification attempt for finite-dimensional complex 
 semisimple Hopf algebras. We will then go on to de
 scribe more interesting constructions - bicrossed 
 and bismash products - which can be defined using 
 any finite group with a given factorisation into t
 rivially intersecting subgroups\, and explain a wa
 y of studying bismash products using character the
 ory. We will look at a particular family of bismas
 h products arising from factorisations of the proj
 ective general linear group over a finite field\, 
 before examining what happens if the factorized gr
 oup we started is a) a semidirect product\, b) a F
 robenius group.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
 B
CONTACT:Anton Evseev
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