Results 1 to 10 of about 524 (40)
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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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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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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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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ENDOSCOPY FOR HECKE CATEGORIES, CHARACTER SHEAVES AND REPRESENTATIONS
Forum of Mathematics, Pi, 2020 For a reductive group $G$ over a finite field, we show that the neutral block of its mixed Hecke category with a fixed monodromy under the torus action is monoidally equivalent to the mixed Hecke category of the corresponding endoscopic group $H$ with ...
GEORGE LUSZTIG, ZHIWEI YUN
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Forum of Mathematics, Sigma, 2018 We introduce a path theoretic framework for understanding the representation theory of (quantum) symmetric and general linear groups and their higher-level generalizations over fields of arbitrary characteristic.
C. BOWMAN, A. G. COX
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COCENTERS OF $p$ -ADIC GROUPS, I: NEWTON DECOMPOSITION
Forum of Mathematics, Pi, 2018 In this paper, we introduce the Newton decomposition on a connected reductive $p$ -adic group $G$ . Based on it we give a nice decomposition of the cocenter of its Hecke algebra. Here we
XUHUA HE
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Derived equivalences for trigonometric double affine Hecke algebras
Forum of Mathematics, SigmaThe trigonometric double affine Hecke algebra $\mathbf {H}_c$ for an irreducible root system depends on a family of complex parameters c. Given two families of parameters c and $c'$ which differ by integers, we construct the translation ...
Wille Liu
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Quantum wreath products and Schur–Weyl duality I
Forum of Mathematics, SigmaIn this paper, the authors introduce a new notion called the quantum wreath product, which is the algebra $B \wr _Q \mathcal {H}(d)$ produced from a given algebra B, a positive integer d and a choice $Q=(R,S,\rho ,\sigma )$ of parameters ...
Chun-Ju Lai +2 more
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Stability in the category of smooth mod-p representations of ${\mathrm {SL}}_2(\mathbb {Q}_p)$
Forum of Mathematics, SigmaLet $p \geq 5$ be a prime number, and let $G = {\mathrm {SL}}_2(\mathbb {Q}_p)$ . Let $\Xi = {\mathrm {Spec}}(Z)$ denote the spectrum of the centre Z of the pro-p Iwahori–Hecke algebra of G with coefficients in a field k of ...
Konstantin Ardakov, Peter Schneider
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