Center of Twisted Graded Hecke Algebras for Homocyclic Groups [PDF]
We determine explicitly the center of the twisted graded Hecke algebras associated to homocyclic groups. Our results are a generalization of formulas by M. Douglas and B. Fiol in [J. High Energy Phys. 2005 (2005), no. 9, 053, 22 pages, hep-th/9903031]
Gan, Wee Liang, Highfield, Matthew
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On graded decomposition numbers for cyclotomic Hecke algebras in quantum characteristic 2 [PDF]
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]
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]
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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A $q$-analogue of derivations on the tensor algebra and the $q$-Schur-Weyl duality [PDF]
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
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The affine Yokonuma-Hecke algebra and the pro-$p$-Iwahori-Hecke algebra
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 representation dimension of skew group algebras, wreath products and blocks of Hecke algebras
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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Constructible characters and b-invariants [PDF]
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
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Power sums and Homfly skein theory
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 +2 more
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Geometrization of the Satake transform for mod p Hecke algebras
We geometrize the mod p Satake isomorphism of Herzig and Henniart–Vignéras using Witt vector affine flag varieties for reductive groups in mixed characteristic. We deduce this as a special case of a formula, stated in terms of the geometry of generalized
Robert Cass, Yujie Xu
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