Unitary representations of affine Hecke algebras related to Macdonald spherical functions

dc.creatorvan Diejen, J. F.
dc.creatorEmsiz, E.
dc.date.accessioned2024-01-10T13:44:04Z
dc.date.accessioned2024-05-02T16:59:08Z
dc.date.available2024-01-10T13:44:04Z
dc.date.available2024-05-02T16:59:08Z
dc.date.created2024-01-10T13:44:04Z
dc.date.issued2012
dc.identifier10.1016/j.jalgebra.2012.01.005
dc.identifier1090-266X
dc.identifier0021-8693
dc.identifierhttps://doi.org/10.1016/j.jalgebra.2012.01.005
dc.identifierhttps://repositorio.uc.cl/handle/11534/78831
dc.identifierWOS:000300200600013
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9267521
dc.description.abstractFor 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 on the weight lattice. It is shown that the action of the center under this representation is diagonal on the basis of Macdonald spherical functions. As an application, we compute an explicit Pieri formula for these spherical functions. (C) 2012 Elsevier Inc. All rights reserved.
dc.languageen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.rightsacceso abierto
dc.subjectSymmetric functions
dc.subjectAffine Hecke algebras
dc.subjectSpherical functions
dc.subjectINTEGRABLE SYSTEMS
dc.titleUnitary representations of affine Hecke algebras related to Macdonald spherical functions
dc.typeartículo


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