Unipotent representations and microlocalization

Unipotent Automorphic Representations : Conjectures

In these notes, we shall attempt to make sense of the notions of semisimple and unipotent representations in the context of automorphic forms. Our goal is to formulate some conjectures, both local and global, which were originally motivated by the trace formula. Some of these conjectures were stated less generally in lectures [2] at the University of Maryland. The present paper is an update of ...

Unipotent Representations and Quantum Induction

In this paper, we construct unipotent representations for the real orthogonal groups and the metaplectic groups in the sense of Vogan.

Unipotent Automorphic Representations : Global Motivation

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Special Unipotent Representations and the Howecorrespondencepeter

Spherical Nilpotent Orbits and Unipotent Representations

then the coadjoint orbits of SL (2,R) fall into three basic classes; according to whether the Casimir function B (Z,Z) = h + xy is positive, negative or zero.(Here Z ≡ x ∗X + h ∗H + y ∗ Y .) The nature of these orbits becomes a little clear if we adopt a basis for which B is diagonal, setting Z0 = X − Y Z2 = X + Y Z3 = H we find B (Z,Z) = −z 0 + z 2 + z 3 That is, the invariant bilinear form on...