On Kirillov’s lemma and the Benson–Ratcliff invariant

DOI10.1063/5.0042425zbMath1465.81054OpenAlexW3163128161WikidataQ124986068 ScholiaQ124986068MaRDI QIDQ4991004

Rafik Khalfi, Béchir Dali

Publication date: 2 June 2021

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

Full work available at URL: https://doi.org/10.1063/5.0042425

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Nilpotent and solvable Lie groups (22E25) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Solvable, nilpotent (super)algebras (17B30)

Cites Work

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• An invariant for unitary representations of nilpotent Lie groups
• Quantization and an invariant for unitary representations of nilpotent Lie groups
• On Kirillov's lemma for nilpotent Lie algebras
• On the Benson-Ratcliff invariant of coadjoint orbits on nilpotent Lie groups
• 7-Dimensional Nilpotent Lie Algebras
• Geometric Quantization and The Universal Enveloping Algebra of a Nilpotent Lie Group
• Square Integrable Representations of Nilpotent Groups
• Cohomology Theory of Lie Groups and Lie Algebras

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