Results 1 to 10 of about 560 (58)
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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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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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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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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On graded decomposition numbers for cyclotomic Hecke algebras in quantum characteristic 2 [PDF]
, 2014 Brundan and Kleshchev introduced graded decomposition numbers for representations of cyclotomic Hecke algebras of type $A$, which include group algebras of symmetric groups.
Evseev, Anton
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Kleshchev's decomposition numbers and branching coefficients in the Fock space [PDF]
, 2007 10.1090/S0002-9947-07-04202-XTransactions of the American Mathematical Society36031179 ...
Chuang, J., Miyachi, H., Tan, K. M.
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On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles [PDF]
, 2006 For a class of $*$-algebras, where $*$-algebra $A_{\Gamma,\tau}$ is generated by projections associated with vertices of graph $\Gamma$ and depends on a parameter $\tau$ $(0 < \tau \leq 1)$, we study the sets $\Sigma_\Gamma$ of values of $\tau$ such that
Popova, Natasha D., Samoilenko, Yurii S.
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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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