A Note on The Spectral Transfer Morphism for Affine Hecke Algebras
Journal of Lie theory, Tome 29 (2019) no. 4, pp. 901-926
Opdam introduced the notion of spectral transfer morphisms of affine Hecke algebras to study the formal degree of a unipotent discrete series representation. Based on the uniqueness property of supercuspidal unipotent representations established by Opdam and the author, Opdam proved that unipotent discrete series representations of classical groups can be classified by the associated formal degrees, in the same spirit as Reeder's result for split exceptional adjoint groups.
Classification :
20G25, 22E50
Mots-clés : Affine Hecke algebra, unipotent representation, discrete series representation, formal degree, spectral transfer morphism
Mots-clés : Affine Hecke algebra, unipotent representation, discrete series representation, formal degree, spectral transfer morphism
@article{JLT_2019_29_4_JLT_2019_29_4_a0,
author = {Y. Feng},
title = {A {Note} on {The} {Spectral} {Transfer} {Morphism} for {Affine} {Hecke} {Algebras}},
journal = {Journal of Lie theory},
pages = {901--926},
year = {2019},
volume = {29},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a0/}
}
Y. Feng. A Note on The Spectral Transfer Morphism for Affine Hecke Algebras. Journal of Lie theory, Tome 29 (2019) no. 4, pp. 901-926. http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a0/