Olivetti Club
Tuesday, April 22, 2014 - 4:30pm
Malott 406
Nice things about compact Lie groups abound. Complete reducibility of their representations, finiteness of dimensions of irreducible unitary representations which are indexed by highest weights, to name a few. They are more or less related to compactness. Then what is the benefit of considering the group of loops in a compact Lie group which is infinite dimensional? Unwieldy and intimidating as they may look, loop groups share nice properties with compact Lie groups, and they have something more that compact Lie groups do not. In this talk I will make a case that loop groups are good.
Refreshments will be served in the lounge at 4:00 PM.