Orbital decompositions of representations of non-simply connected nilpotent groups

DOI10.1017/S0004972700028446zbMath0714.22007OpenAlexW1986535930MaRDI QIDQ3199671

Ronald L. Lipsman

Publication date: 1990

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700028446

zbMATH Keywords

Lie algebracovering groupinduced representationsorbit methoddirect integral decompositionirreducible unitary representationmultiplicity freeconnected nilpotent Lie groupconnected exponential solvable Lie group

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Induced representations for locally compact groups (22D30)

Cites Work

• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups
• Complex Algebraic Geometry and Calculation of Multiplicities for Induced Representations of Nilpotent Lie Groups
• Orbital Parameters for Induced and Restricted Representations

This page was built for publication: Orbital decompositions of representations of non-simply connected nilpotent groups