Minimal realizations of classical simple Lie algebras through deformations

DOI10.5802/AFST.894zbMath0923.17010OpenAlexW2335079069MaRDI QIDQ1275254

Benjamin Cahen, Didier Arnal, Hédi Ben Amor

Publication date: 17 January 1999

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1998_6_7_2_169_0

zbMATH Keywords

star productcomplex simple Lie algebramininal realizations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

Formal deformations and principal series representations of ${\rm SL}(2,{\mathbb R})$ and ${\rm SL}(2,{\mathbb C})$ ⋮ Formal deformations of certain representations of the Lie algebra of a generalized Poincaré group ⋮ A construction by deformation of unitary irreducible representations of SU(1,n) and SU(n + 1)

Cites Work

• Unnamed Item
• Unnamed Item
• Représentations \({}^*\) des groupes exponentiels. \((^*\)- representations of exponential groups)
• Some ideas about quantization
• Deformation theory and quantization. I: Deformations of symplectic structures
• Algebraic deformation program on minimal nilpotent orbit
• Nilpotent Fourier transform and applications
• Minimal realizations and spectrum generating algebras
• Moyal product and representations of solvable Lie groups
• Algèbres d'opérateurs différentiels et quotients des algèbres enveloppantes
• The minimal orbit in a simple Lie algebra and its associated maximal ideal
• Hermitian Lie Algebras and Metaplectic Representations. I

This page was built for publication: Minimal realizations of classical simple Lie algebras through deformations