Results 11 to 20 of about 542 (55)

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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MODULAR DECOMPOSITION NUMBERS OF CYCLOTOMIC HECKE AND DIAGRAMMATIC CHEREDNIK ALGEBRAS: A PATH THEORETIC APPROACH

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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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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Derived equivalences for trigonometric double affine Hecke algebras

Forum of Mathematics, Sigma
The 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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Multiplicative Bases for the Centres of the Group Algebra and Iwahori-Hecke Algebra of the Symmetric Group

, 2012
Let $\H_n$ be the Iwahori-Hecke algebra of the symmetric group $S_n$, and let $Z(\H_n)$ denote its centre. Let $B={b_1,b_2,...,b_t}$ be a basis for $Z(\H_n)$ over $R=\Z[q,q^{-1}]$. Then $B$ is called \emph{multiplicative} if, for every $i$ and $j$, there
Francis, Andrew, Jones, Lenny
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Quantum wreath products and Schur–Weyl duality I

Forum of Mathematics, Sigma
In 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, Daniel K. Nakano, Ziqing Xiang   +2 more
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The affine Yokonuma-Hecke algebra and the pro-$p$-Iwahori-Hecke algebra

, 2015
We prove that the affine Yokonuma-Hecke algebra defined by Chlouveraki and Poulain d'Andecy is a particular case of the pro-$p$-Iwahori-Hecke algebra defined by Vign ...
Chlouveraki, Maria, Sécherre, Vincent
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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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Stability in the category of smooth mod-p representations of ${\mathrm {SL}}_2(\mathbb {Q}_p)$

Forum of Mathematics, Sigma
Let $p \geq 5$ 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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Power sums and Homfly skein theory

, 2001
The Murphy operators in the Hecke algebra H_n of type A are explicit commuting elements, whose symmetric functions are central in H_n. In [Skein theory and the Murphy operators, J. Knot Theory Ramif.
Homfly Skein Theory, Hugh R. Morton, Power Sums   +2 more
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