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

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representation theory

wee teck gan

ucsd

exceptional theta correspondences over finite fields

abstract:

if $g_1 x g_2$ is a subgroup of a finite group $h$, one can restrict a representation of $h$ to $g_1 x g_2$ and examine how it decomposes. one obtains in this way a function from irreducible representations of $g_1$ to (possibly reducible, possibly zero) representations of $g_2$. in certain cases, this function turns out to be very nice. we examine a particular case of this, when the groups involved are finite groups of lie type. a large portion of the talk will be on recalling the classification of irreducible representations of such groups due to deligne-lusztig and lusztig.

host: k. baur

november 9, 2004

2:00 pm

ap&m 7321

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