Gelfand pairs attached to representations of compact Lie groups

DOI10.1007/BF01234795zbMath0971.22006WikidataQ115393807 ScholiaQ115393807MaRDI QIDQ5927626

Jorge Lauret

Publication date: 20 March 2001

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

commutative spacesGelfand pairshomogeneous Riemannian manifoldLie algebranilpotent Lie groupreal representationreductive spacesweakly symmetric spaces

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25)

Related Items (8)

Weak symmetry in naturally reductive homogeneous nilmanifolds ⋮ Some harmonic analysis on commutative nilmanifolds ⋮ The space of bounded spherical functions on the free 2-step nilpotent Lie group ⋮ On commutative homogeneous vector bundles attached to nilmanifolds ⋮ A geometric criterion for Gelfand pairs associated with nilpotent Lie groups ⋮ Matrix spherical analysis on nilmanifolds ⋮ A generalized Gelfand pair attached to a 3-step nilpotent Lie group ⋮ Generalized Gelfand pairs associated to \(m\)-step nilpotent Lie groups

Uses Software

• LiE

Cites Work

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• On probabilistic commutative spaces
• Weakly symmetric groups of Heisenberg type
• Some remarks on nilpotent orbits
• Isometry groups on homogeneous nilmanifolds
• Riemannian nilmanifolds attached to Clifford modules
• Weakly symmetric spaces and spherical varieties
• Modified \(H\)-type groups and symmetric-like Riemannian spaces
• Homogeneous nilmanifolds attached to representations of compact Lie groups
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Geometry of weakly symmetric spaces
• The orbit method and Gelfand pairs, associated with nilpotent Lie groups
• A geometric criterion for Gelfand pairs associated with the Heisenberg group
• A classification of multiplicity free actions
• Naturally Reductive Homogeneous Riemannian Manifolds
• On Gelfand Pairs Associated with Solvable Lie Groups
• Commutative Algebras of Invariant Functions on Groups of Heisenberg Type
• Geometry of 2-Step Nilpotent Groups with a Left Invariant Metric. II
• Geometry of $2$-step nilpotent groups with a left invariant metric
• Commutative Spaces Which are Not Weakly Symmetric
• A geometric criterion for Gelfand pairs associated with nilpotent Lie groups

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