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【英文表示】

作成: 2010/12/22 16:46:03　更新: 2010/12/22 16:46:59

登　録　ID	1293003620-64
種　　　別	Seminar Representation Theory Seminar
属　　　性
講　演　者	Stephen Griffeth (The University of Edinburgh)
タ イ ト ル	Specht-valued Jack polynomials and representations of rational Cherednik algebras
日　　　時	2011/1/17 14:45–15:45
会　　　場	409 in Bldg. Sci. 1
要　　　旨	I’ll discuss applications of a certain family of ortogonal functions to representation-theoretic questions. The orthogonal functions are versions of Jack polynomials which, instead of being complex valued, take values in an irreducible representation of a complex reflection group. Combinatorial formulas for the usual statistics (norms, eigenvalues, etc...) associated to orthogonal polynomials turn out to give information about homological and representation-theoretic properties of rational Cherednik algebras and their spherical subalgebras. Time permitting, we’ll also discuss an application to the classification of unitary representations of the Cherednik algebra.
責　任　者	宮地兵衛

【和文表示】

作成: 2010/12/22 16:46:03　更新: 2010/12/22 16:46:59

登　録　ID	1293003620-64
種　　　別	セミナー 表現論セミナー
属　　　性
講　演　者	Stephen Griffeth (The University of Edinburgh)
タ イ ト ル	Specht-valued Jack polynomials and representations of rational Cherednik algebras
日　　　時	2011/1/17 14:45–15:45
会　　　場	理1号館　409講義室
要　　　旨	I’ll discuss applications of a certain family of ortogonal functions to representation-theoretic questions. The orthogonal functions are versions of Jack polynomials which, instead of being complex valued, take values in an irreducible representation of a complex reflection group. Combinatorial formulas for the usual statistics (norms, eigenvalues, etc...) associated to orthogonal polynomials turn out to give information about homological and representation-theoretic properties of rational Cherednik algebras and their spherical subalgebras. Time permitting, we’ll also discuss an application to the classification of unitary representations of the Cherednik algebra.
責　任　者	宮地兵衛

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