Deformations of Lie group and Lie algebra representations

DOI10.1063/1.529998zbMath0798.22009OpenAlexW2007679147WikidataQ115331147 ScholiaQ115331147MaRDI QIDQ3141414

Georges Pinczon, Marc Lesimple

Publication date: 3 November 1994

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

Full work available at URL: https://doi.org/10.1063/1.529998

zbMATH Keywords

Lie algebraLie grouprepresentationsdeformationsinduced deformations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (9)

The hidden group structure of quantum groups: Strong duality, rigidity and preferred deformations ⋮ A star-product approach to noncompact quantum groups ⋮ Quantum groups and deformation quantization: Explicit approaches and implicit aspects ⋮ Quantization of Poisson-Lie groups and applications ⋮ Formal deformations and principal series representations of ${\rm SL}(2,{\mathbb R})$ and ${\rm SL}(2,{\mathbb C})$ ⋮ Deformations of the metaplectic representations ⋮ Symmetrizable quantum affine superalgebras and their representations ⋮ Deformations of massless Gupta–Bleuler triplets in 3+2 De Sitter space ⋮ A construction by deformation of unitary irreducible representations of SU(1,n) and SU(n + 1)

Cites Work

• Non linear multipliers and applications
• Extensions of representations and cohomology
• Erratum to my paper 'Deformations of representations'
• Deformation theory and quantization. I: Deformations of symplectic structures

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