Results 1 to 10 of about 56 (39)
Cherednik algebra for the normalizer
Comptes rendus. Mathematique, 2022 Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient category of the category O for the rational Cherednik algebra and the category of finite dimension modules of the Hecke algebra of a complex reflection group W
Henry Fallet
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Oberwolfach Reports, 2021 The Kronecker, plethysm and Sylow branching coefficients describe the decomposition of representations of symmetric groups obtained by tensor products and induction.
C. Bessenrodt, C. Bowman, E. Giannelli
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Forum of Mathematics, Sigma, 2023 Let G be a finite group. Let $H, K$ be subgroups of G and $H \backslash G / K$ the double coset space. If Q is a probability on G which is constant on conjugacy classes ( $Q(s^{-1} t s) = Q(t)$ ), then the random walk driven by Q on G ...
Persi Diaconis +2 more
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ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2001 An affine Hecke algebra $\mathcal{H}$ contains a large abelian subalgebra $\mathcal{A}$ spanned by the Bernstein–Zelevinski–Lusztig basis elements $\theta_x$, where $x$ runs over (an extension of) the root lattice. The centre $\mathcal{Z}$ of $\mathcal{H}
E. Opdam
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ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF $p$-ADIC REDUCTIVE GROUPS
Forum of Mathematics, Sigma, 2020 Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension $F/\mathbb{Q}_{p}$ and that $C$ is a field of characteristic $p$. We prove that the group $\mathbf{G}(F)$ admits an irreducible admissible supercuspidal, or equivalently ...
FLORIAN HERZIG +2 more
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Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type
Forum of Mathematics, Sigma, 2021 We prove an explicit inverse Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds of simply laced type. By an ‘inverse Chevalley formula’ we mean a formula for the product of an equivariant scalar with a Schubert class, expressed
Takafumi Kouno +3 more
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Corrigendum to ‘Endoscopy for Hecke categories, character sheaves and representations’
Forum of Mathematics, Pi, 2021 We fix an error on a $3$ -cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. We give the corrected statements of the main results.
George Lusztig, Zhiwei Yun
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Erratum to: Hecke algebras, finite general linear groups, and Heisenberg categorification [PDF]
, 2011 We define a category of planar diagrams whose Grothendieck group contains an integral version of the infinite rank Heisenberg algebra, thus yielding a categorification of this algebra.
Anthony M. Licata, Alistair Savage
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Kazhdan–Lusztig Cells and the Murphy Basis [PDF]
, 2005 Let H be the Iwahori–Hecke algebra associated with Sn, the symmetric group on n symbols. This algebra has two important bases: the Kazhdan–Lusztig basis and the Murphy basis.
M. Geck
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Virtual Algebraic Lie Theory: Tilting Modules and Ringel Duals for Blob Algebras [PDF]
, 2002 In this paper we describe a tensor space representation of the blob algebra over a ring allowing base change to every interesting (that is, non‐semisimple) specialisation.
P. Martin, S. Ryom-Hansen
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