Infinitely small orbits in two-step nilpotent Lie algebras

DOI10.1016/J.JALGEBRA.2016.04.022zbMath1405.22007OpenAlexW2428457465WikidataQ115350768 ScholiaQ115350768MaRDI QIDQ298041

Béchir Dali

Publication date: 20 June 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.04.022

zbMATH Keywords

nilpotent and solvable Lie groupsunitary representations of locally compact Lie groups

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25) General properties and structure of real Lie groups (22E15)

Related Items (2)

The cortex of a class of semidirect product exponential Lie groups ⋮ Unnamed Item

Cites Work

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• On the cortex of a nilpotent Lie group
• Note on the cortex of some exponential Lie groups
• Lie groups whose coadjoint orbits are of dimension smaller or equal to two
• COHOMOLOGY OF GROUPS IN UNITARY REPRESENTATIONS, THE NEIGHBORHOOD OF THE IDENTITY, AND CONDITIONALLY POSITIVE DEFINITE FUNCTIONS
• Construction of canonical coordinates for exponential Lie groups
• Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation.
• On infinitely small orbits
• The Structure of the Space of Coadjoint Orbits of an Exponential Solvable Lie Group
• Geometric Quantization and The Universal Enveloping Algebra of a Nilpotent Lie Group
• Weak Containment and Induced Representations of Groups

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