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Remarks on irreducibility of eigenspace representations

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Publication:786242
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DOI10.1007/BF02329738zbMath0527.22015MaRDI QIDQ786242

Henrik Stetkaer

Publication date: 1983

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


zbMATH Keywords

irreducible representationinvariant differential operatorsjoint eigenspace


Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie and linear algebraic groups over local fields (22E50)


Related Items (2)

Scalar irreducibility of certain eigenspace representations ⋮ Scalar irreducibility of eigenspaces of the tangent space of a reductive symmetric space



Cites Work

  • A duality for symmetric spaces with applications to group representations
  • On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
  • Eigenspace representations of nilpotent lie groups.
  • Representations of the Heisenberg group of dimension $2n+1$ on eigenspaces.
  • Invariant differential equations on homogeneous manifolds
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