BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The representation theory of Lie algebras: ordinary vs modular - L
 ewis Topley Norwich University
DTSTART:20131108T150000Z
DTEND:20131108T160000Z
UID:TALK48790@talks.cam.ac.uk
CONTACT:Julian Brough
DESCRIPTION:A Lie algebra is a structure we attach to a matrix group\, whi
 ch encodes many of its algebraic properties. The representation theory of 
 Lie algebras has great applications in physics\, which I shall not discuss
 .\n\nThe theory of highest weight representations is now one of the most p
 rolific and useful concepts in representation theory. In this talk\, I sha
 ll recall how the representation of Lie algebras over fields of characteri
 stic zero (the `ordinary' case) were first classified using highest weight
  modules.\n\nIn the second part of the talk I shall compare the known resu
 lts in characteristic zero to the more mysterious modular realm\, where ou
 r Lie algebra is defined over fields of positive characteristic. Here we s
 ee that the simple modules have bounded dimension\, and a full classificat
 ion of simple modules in not known in general. I shall try to describe som
 e of the useful concepts involved in studying the theory\, and compare to 
 the ordinary case.
LOCATION:CMS\, MR5
END:VEVENT
END:VCALENDAR