The Dirac Operator on Homogeneous Spaces and Representations of Reductive Lie Groups II

DOI10.2307/2374565zbMath0669.22003OpenAlexW2313598626WikidataQ115228804 ScholiaQ115228804MaRDI QIDQ3822416

Stephen Slebarski

Publication date: 1987

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374565

zbMATH Keywords

Dirac operatorsdiscrete seriesreductive Lie groupharmonic spinorsrepresentations of Lie groupsRiemannian connected homogeneous spaces

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (11)

Unnamed Item ⋮ A Lie-algebraic approach to the local index theorem on compact homogeneous spaces ⋮ Dirac induction for loop groups ⋮ Character formulæ and GKRS multiplets in equivariant \(K\)-theory ⋮ Noncubic Dirac operators for finite dimensional modules ⋮ A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups ⋮ Unnamed Item ⋮ Twisted representation rings and Dirac induction ⋮ Representation theoretic harmonic spinors for coherent families ⋮ Principal series representations and harmonic spinors ⋮ Harmonic spinors on semisimple symmetric spaces

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