The fundamental invariants of inhomogeneous classical groups

DOI10.1063/1.525870zbMath0523.22020OpenAlexW1990761007MaRDI QIDQ3035716

M. Perroud

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525870

zbMATH Keywords

fiber bundlesemidirect productcoadjoint representationCasimir operatorsgeneric orbitsinhomogeneous classical groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

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Cites Work

• The moment map and collective motion
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• A general setting for Casimir invariants
• Invariants of real low dimension Lie algebras
• On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
• Invariants and Scalars of Compact Inhomogeneous Unitary Algebras