On the Enright-Varadarajan modules : a construction of the discrete series

DOI10.24033/asens.1304zbMath0379.22008OpenAlexW2602557022MaRDI QIDQ4159554

Nolan R. Wallach

Publication date: 1976

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1976_4_9_1_81_0

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Faces and maximizer subsets of highest weight modules, Restriction of square integrable representations: discrete spectrum, Unnamed Item, Lie algebra cohomology of infinite-dimensional modules, Unnamed Item, Projective modules over graded Lie algebras. I, Harmonic analysis on reductive Lie groups, Representation theoretic harmonic spinors for coherent families, Szegoe kernels associated with discrete series, A duality for symmetric spaces with applications to group representations. II: Differential equations and eigenspace representations, Invariant differential equations on homogeneous manifolds, Minimal K-types for certain representations of real semisimple groups, The fundamental series of representations of a real semisimple Lie algebra, Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules, THE CONTINUOUS SPECTRUM IN DISCRETE SERIES BRANCHING LAWS, An evolution in six stages based on triality: A mathematical memoir

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a conjecture of Langlands
• Multiplicity formulae for discrete series
• On an infinitesimal characterization of the discrete series
• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• Elliptic complexes on certain homogeneous spaces
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Two theorems on semi-simple Lie groups
• Structure of representations generated by vectors of highest weight
• Algebraic Results on Representations of Semisimple Lie Groups
• Representations of semisimple Lie groups. II