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

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math 256 - special lie groups

eric rains

ccr princeton

vanishing integrals and symmetric spaces

abstract:

one particularly interesting consequence of the theory ofsymmetric spaces is that if one integrates a schur function $s_lambda$(i.e., an irreducible character of the unitary group) over theorthogonal group, the integral vanishes unless all parts of thepartition $lambda$ are even (when the integral is 1). i'll discusssome ``quantum'' generalizations of this fact, in which the schurfunctions are replaced by macdonald polynomials; i'll also discussanalogous integrals related to other classical symmetric spaces.

host: nolan wallach

february 14, 2003

2:00 pm

ap&m 6218

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