Geodesic
A Note on The Spectral Transfer Morphism for Affine Hecke Algebras
Yongqi Feng1
1Institute for Mathematics, Astrophysics, and Particle Physics, Radboud Universiteit, Nijmegen, The Netherlands
Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 901-926

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
The present paper aims at verifying that three specific families of finite maps of algebraic tori are spectral transfer morphisms. These spectral transfer morphisms are used in the proof of Opdam's result mentioned above.
Classification : 20G25, 22E50
Mots-clés : Affine Hecke algebra, unipotent representation, discrete series representation, formal degree, spectral transfer morphism

Yongqi Feng  1

1 Institute for Mathematics, Astrophysics, and Particle Physics, Radboud Universiteit, Nijmegen, The Netherlands 
Yongqi 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/JOLT_2019_29_4_a0/
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     title = {A {Note} on {The} {Spectral} {Transfer} {Morphism} for {Affine} {Hecke} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {901--926},
     year = {2019},
     volume = {29},
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     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a0/}
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