La représentation coadjointe du groupe affine

DOI10.5802/aif.686zbMath0499.22022OpenAlexW1982454643MaRDI QIDQ1171662

Mustapha Rais

Publication date: 1978

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1978__28_1_207_0

zbMATH Keywords

relative invariantscoadjoint representationrational invariants

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (13)

On the semi-center of a universal enveloping algebra ⋮ Flat affine or projective geometries on Lie groups ⋮ The principal element of a Frobenius Lie algebra ⋮ An algorithm to calculate the invariants of any Lie algebra ⋮ Wigner analysis and Casimir operators of SA(4,R) ⋮ Structure of symplectic Lie groups and momentum map ⋮ Canonical Semi-Invariants and the Plancherel Formula for Parabolic Groups ⋮ Center of infinitesimal Cherednik algebras of 𝔤𝔩_{𝔫} ⋮ Left invariant contact structures on Lie groups ⋮ Lie groups ⋮ On maximal primitive quotients of infinitesimal Cherednik algebras of \(\mathfrak{gl}_n\) ⋮ Complex, symplectic, and contact structures on low-dimensional Lie groups ⋮ Souriau-Casimir Lie Groups Thermodynamics and Machine Learning

Cites Work

• On \(B_r\)-completeness
• Decidability criteria for the similarity problem, with applications to the moduli of linear dynamical systems
• Invariant theory, old and new
• Observable Groups and Hilbert's Fourteenth Problem
• Second Commutant Theorems in Enveloping Algebras
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