Unitary derived functor modules with small spectrum

DOI10.1007/BF02392820zbMath0568.22007MaRDI QIDQ1060306

Joseph A. Wolf, Nolan R. Wallach, Thomas J. Enright, Rajagopalan Parthasarathy

Publication date: 1985

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

real semisimple Lie groupunitary dualSO(p,q)ladder representationSp(n,\({\mathbb{R}})\)Sp(r,s)Zuckerman's derived functor

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications, Continuation of unitary derived functor modules out of the canonical chamber, Some small unipotent representations of indefinite orthogonal groups, Classification of minimal representations of real simple Lie groups, Derived functor modules, dual pairs and \(\mathcal{U}(\mathfrak{g})^K\)-actions, On bounded generalized Harish-Chandra modules, Nilpotent orbits and some small unitary representations of indefinite orthogonal groups., Derived Functors of Unitary Highest Weight Modules at Reduction Points, Unnamed Item, Unnamed Item, Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations, Unnamed Item, The Langlands parameters of subquotients of certain derived functor modules, Restrictions of quaternionic representations, On the unitarizability of derived functor modules

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