Results 11 to 20 of about 525 (39)

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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A $q$-analogue of derivations on the tensor algebra and the $q$-Schur-Weyl duality [PDF]

, 2015
This paper presents a $q$-analogue of an extension of the tensor algebra given by the same author. This new algebra naturally contains the ordinary tensor algebra and the Iwahori-Hecke algebra type $A$ of infinite degree.
Itoh, Minoru
core   +2 more sources

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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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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Constructible characters and b-invariants [PDF]

, 2015
To each finite Coxeter system (W,S) and to each weight function L, Lusztig has defined the notions of constructible characters and of Lusztig families of W, using the so-called J-induction.
Bonnafé, Cédric
core   +2 more sources

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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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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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
doaj   +1 more source

On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras

, 2012
We establish bounds for the representation dimension of skew group algebras and wreath products. Using this, we obtain bounds for the representation dimension of a block of a Hecke algebra of type A, in terms of the weight of the block.
Bergh, Petter Andreas, Turner, Will
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An update on Haiman’s conjectures

Forum of Mathematics, Sigma
We revisit Haiman’s conjecture on the relations between characters of Kazdhan–Lusztig basis elements of the Hecke algebra over $S_n$ . The conjecture asserts that, for purposes of character evaluation, any Kazhdan–Lusztig basis element is reducible
Alex Corrêa Abreu, Antonio Nigro
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