Nilpotent orbits and some small unitary representations of indefinite orthogonal groups.

DOI10.1016/S0022-1236(03)00254-4zbMath1082.22009MaRDI QIDQ1431780

A. W. Knapp

Publication date: 11 June 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

unitary representationsclassical groupsnilpotent orbits

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Classical groups (algebro-geometric aspects) (14L35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (7)

Some small unipotent representations of indefinite orthogonal groups ⋮ Irreducible Characters and Semisimple Coadjoint Orbits ⋮ Reversibility properties of semigroup actions on homogeneous spaces ⋮ Transfers of \(K\)-types on local theta lifts of characters and unitary lowest weight modules ⋮ Dual pair correspondences for non-linear covers of orthogonal groups ⋮ Representations associated to small nilpotent orbits for real Spin groups ⋮ Modular forms on non-linear double covers of algebraic groups

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