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SUMMARY:On Lusztig's Classification of Irreducible Representations of Fini
 te Groups of Lie Type - Jay Taylor\, Aberdeen
DTSTART:20100219T140000Z
DTEND:20100219T150000Z
UID:TALK22294@talks.cam.ac.uk
CONTACT:Chris Bowman
DESCRIPTION:In the mid 80's Lusztig found a concrete method for classifyin
 g the\nordinary irreducible representations of a finite reductive group an
 d obtaining\nthe dimensions of the representations. This classification wa
 s achieved by:\nfirst splitting the irreducible representations up into so
  called Lusztig\nseries\, then parameterising the representations in each 
 Lusztig series by\nirreducible representations of Weyl groups. We discuss 
 Lusztig's method of\nclassification and the problems that arise when the a
 mbient connected reductive\nalgebraic group has a disconnected centre.\n
LOCATION:MR13
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