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SUMMARY:Littlemann Paths: an interface between representations of semi sim
 ple Lie algebras and probabilistic study of functions on the set of walks 
 on lattices - Marjorie Batchelor (DPMMS)
DTSTART:20110505T141500Z
DTEND:20110505T150000Z
UID:TALK30511@talks.cam.ac.uk
CONTACT:Elena Yudovina
DESCRIPTION:The theory of crystals and specifically that of Littlemann pat
 hs on the weight lattices associated to semi simple Lie algebras has one p
 articular fact that might be of interest to probabilists: crystals partiti
 on the set of paths.  Lie theorists like crystals because they carry most\
 , perhaps all\, the information about representations of the Lie algebras.
 \n\nI would like to explain what I mean by this.  This might be of use to 
 probabilists if their interest is in a function on the set of walks on a l
 attice whose expected value over a given crystal is particularly easy to w
 ork out.  Examples of such easy functions arise naturally from representat
 ion theory.
LOCATION:CMS\, MR11
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