Index theorems and discrete series representations of semisimple Lie groups

DOI10.1007/BF02329734zbMath0578.22017OpenAlexW2046119845WikidataQ115392497 ScholiaQ115392497MaRDI QIDQ1066288

Antoni Wawrzyńczyk

Publication date: 1983

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02329734

zbMATH Keywords

multiplicitysymmetric spaceCartan decompositiondiscrete series representationsproportionality principleAtiyah-Singer index theorem\(L^ 2\)-index theoremdual Riemannian symmetric pairshomogeneous product bundlessemisimple algebraic Lie group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Index theory and related fixed-point theorems on manifolds (58J20)

Cites Work

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• The \(L^2\)-index theorem for homogeneous spaces of Lie groups
• A geometric construction of the discrete series for semisimple Lie groups
• The index of elliptic operators. I
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• The 𝐿²-index theorem for homogeneous spaces
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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