Unitary spherical spectrum for split classical groups

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.

Cited by in corpus (5)

• Hodge theory and unitary representations of reductive Lie groups
• Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)
• Functors for unitary representations of classical real groups and affine Hecke algebras
• On unitary unipotent representations of $p$-adic groups and affine Hecke algebras with unequal parameters
• Certain Induced Complementary Series of the Universal Covering of the Symplectic Group