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A discrete Fourier transform associated with the affine Hecke algebra
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012)
We introduce an explicit representation of the double affine Hecke algebra (of type A(1)) at q = 1 that gives rise to a periodic counterpart of a well-known Fourier transform associated with the affine Hecke algebra. (C) ...
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012)
For any reduced crystallographic root system, we introduce a unitary representation of the (extended) affine Hecke algebra given by discrete difference-reflection operators acting in a Hilbert space of complex functions ...
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, 2012)
Trazas relativas de Markov en el álgebra de Yokonuma-Hecke
(Universidad de Valparaíso, 2018-01)
Trazas relativas de Markov en el álgebra de Yokonumba-Hecke
(Universidad de Valparaíso, 2018-01)
Bimódulos de Soergel
(2023-05-19)
Se introduce en esta monografía la teoría clásica de los bimódulos de Soergel. Comenzamos trabajando arreglos de hiperplanos y grupos de reflexiones en primer lugar. Se motiva de esta forma la definición de los grupos de ...
Cell structure for the Yokonuma-Hecke algebra and related algebras
(Universidad de Talca (Chile). Instituto de Matemática y Física, 2019)