Partially harmonic spinors and representations of reductive Lie groups

DOI10.1016/0022-1236(74)90015-9zbMath0279.22009OpenAlexW2010929529MaRDI QIDQ1842939

Joseph A. Wolf

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90015-9

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (11)

Unnamed Item ⋮ Symplectic Dirac cohomology and lifting of characters to metaplectic groups ⋮ Partial Dirac cohomology and tempered representations ⋮ Representations of semisimple groups associated to nilpotent orbits ⋮ Representation theoretic harmonic spinors for coherent families ⋮ Dirac cohomology and character lifting ⋮ Invariant differential equations on homogeneous manifolds ⋮ Representations on partially holomorphic cohomology spaces, revisited ⋮ Principal series representations and harmonic spinors ⋮ Harmonic Spinors on Reductive Homogeneous Spaces ⋮ Harmonic spinors on semisimple symmetric spaces

Cites Work

• On the Frobenius reciprocity theorem for square-integrable representations
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Square-integrable representations of Hilbert algebras
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Dirac operator and the discrete series
• An analogue of the Borel-Weil-Bott theorem for Hermitian symmetric pairs of non-compact type
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• The Characters of Semisimple Lie Groups
• Harmonic analysis on semisimple Lie groups
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