On Blattner's formula for the discrete series representations of \(SO(2n,1)\)

DOI10.1016/0022-1236(76)90059-8zbMath0341.43008OpenAlexW2080990692MaRDI QIDQ1231633

Gerhard Mack

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0022-1236(76)90059-8

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (3)

Structure of the space of ground states in systems with non-amenable symmetries ⋮ Construction of discrete series representations of SOe(4,1) via algebraic Dirac induction ⋮ Harmonic analysis on reductive Lie groups

Cites Work

• A classification of the unitary irreducible representations of \(SO_ 0 (N,1)\)
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• On realization of the discrete series for semi-simple Lie groups
• On irreducible representations of the Lorentz group of $n$-th order
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