Whittaker unitary dual of affine graded Hecke algebras of type E

Abstract

This paper gives the classification of the Whittaker unitary dual for affine graded Hecke algebras of type E. By the Iwahori-Matsumoto involution, this is equivalent also to the classification of the spherical unitary dual for type E. This work completes the classification of the Whittaker Iwahori-spherical unitary dual, or equivalently, the spherical unitary dual, of split linear algebraic p-adic groups.

48 pages

Cited by in corpus (3)

• On the notion of metaplectic Barbasch-Vogan duality
• Iwahori-Matsumoto involution and linear Koszul Duality
• Vogan's FPP conjecture for complex Lie groups