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比利时vs摩洛哥足彩 ,
university of california san diego

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representation theory

nolan wallach

ucsd

exceptional spherical triples

abstract:

let g be a connected, simply connected, simple group over the complex numbers. let k be the fixed point group of an involutive automorphism of g and let p be a parabolic subgroup of g such that kp has interior in g. then we say that (g,k,p) is a spherical triple if there is a borel subgroup of k, b, such that b has an open orbit in g/p. this condition is equivalent with having (degenerate) principal series for the non-compact real form corresponding to k be multiplicity free. in this talk we will give a classification of these triples for the exceptional groups.

host:

april 13, 2004

2:30 pm

ap&m 7218

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