Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces

DOI10.1007/978-0-8176-4741-4_14zbMath1222.22019arXiv0801.3869OpenAlexW1566645584MaRDI QIDQ2999942

Joseph A. Wolf

Publication date: 18 May 2011

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3869

zbMATH Keywords

Lie groupGelfand pairmultiplicity-free representationcommutative spacedirect limit representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Harmonic analysis on homogeneous spaces (43A85) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Conical representations for direct limits of symmetric spaces ⋮ Stepwise square integrable representations for locally nilpotent Lie groups ⋮ Vanishing of the first-order cohomology on Olshanski spherical pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinite Dimensional Multiplicity Free Spaces II: Limits of Commutative Nilmanifolds
• Principal series representations of direct limit groups
• Weakly symmetric Riemannian manifolds with reductive isometry group
• A Bott-Borel-Weil theory for direct limits of algebraic groups

This page was built for publication: Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces