Unitary spherical spectrum for split classical groups
Dan Barbasch
Abstract
This paper gives a complete classification of the unitary irreducible spherical representations of split real and p-adic groups. The results were obtained around 2000, the changes to the new version are expository.
Create a lesson
Related papers
Higher mod p Satake transforms: explicit formulas and images for GL2
Hargun Bhatia, Yashi Jain, Casey Perdue et al.
Lusztig Parameters and Factorizations of Determinantial Modules
Yingjin Bi
Twisted Jacquet modules and induction from Speh representations
Alan Xuelun Hou
Sharp commutator bounds on complex simple Lie algebras: the Böttcher--Wenzel inequality and the comass of the Cartan 3-form
Daniel J. F. Fox
Categorified Cluster Structures on Coulomb Branches of Certain Star-Shaped Quivers
Tianle Liu
Reciprocity for projective and injective direct summands
Shigeo Koshitani, Taro Sakurai