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Bruhat order and nil-Hecke algebras for Weyl groupoids
(World Scientific, 2018-09)
We introduce nil-Hecke algebras for Weyl groupoids. We describe a basis and some properties of these algebras which lead to a notion of Bruhat order for Weyl groupoids.
Cell structure for the Yokonuma-Hecke algebra and related algebras
(2018)
We construct a faithful tensor representation for the Yokonuma-Hecke algebra Yr,n, and use it to give a concrete isomorphism between Yr,n and Shoji’s modified Ariki-Koike algebra. We give a cellular basis for Yr,n and show ...
HECKE ALGEBRAS OF NON-PRINCIPAL CONGRUENCE SUBGROUPS
(Acad Brasileira De CienciasRio De JaneiroBrasil, 1975)
A discrete fourier transform associated with the affine hecke algebra
(ACADEMIC PRESS, 2012)
Unitary representations of affine hecke algebras related to macdonald spherical functions
(ACADEMIC PRESS, 2012)
Unitary representations of affine hecke algebras related to macdonald spherical functions
(ACADEMIC PRESS, 2012)
Prym-tyurin varieties via hecke algebras
(WALTER DE GRUYTER & CO, 2009)