Titlebook: Representations of Reductive Groups; In Honor of the 60th Monica Nevins,Peter E. Trapa Book 2015 Springer International Publishing Switzerl

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978-3-319-79483-9Springer International Publishing Switzerland 2015

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Progress in Mathematicshttp://image.papertrans.cn/r/image/827496.jpg

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Centers and cocenters of 0-Hecke algebras,In this paper, we give explicit descriptions of the centers and cocenters of 0-Hecke algebras associated to finite Coxeter groups.

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On conjugacy classes in a reductive group,Let . be a connected reductive group over an algebraically closed field. We define a decomposition of . into finitely many strata such that each stratum is a union of conjugacy classes of fixed dimension; the strata are indexed purely in terms of the Weyl group and the indexing set is independent of the characteristic.

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Upper semicontinuity of KLV polynomials for certain blocks of Harish-Chandra modules,We show that the coefficients of Kazhdan–Lusztig–Vogan polynomials attached to certain blocks of Harish-Chandra modules satisfy a monotonicity property relative to the closure order on .-orbits in the flag variety.