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On representations of cyclotomic Hecke algebras
representations cyclotomic Hecke algebras
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2011/2/28
An approach, based on Jucys–Murphy elements, to the representation theory of cy-clotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra)of the set of the Jucys–Murphy ele...
The representation dimension of Hecke algebras and symmetric groups
Hecke algebras symmetric groups
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2010/11/22
We establish a lower bound for the representation dimension of all the classical Hecke algebras of types A, B and D. For all the type A algebras, and most of the algebras of types B and D, we also es...
Affine cellularity of affine Hecke algebras of rank two
Affine cellularity affine Hecke algebras
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2010/11/15
We show that affine Hecke algebras of rank two with generic parameters are affine cellular in the sense of Koenig-Xi.