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arxiv: 0708.4036 · v2 · pith:LBD6MDKAnew · submitted 2007-08-29 · 🧮 math.RT

Whittaker unitary dual of affine graded Hecke algebras of type E

classification 🧮 math.RT
keywords dualunitaryclassificationtypewhittakeraffinealgebrasgraded
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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.

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