Graded contractions of sl(3,C)

DOI10.1063/1.529154zbMath0746.17014OpenAlexW2005736699MaRDI QIDQ3987359

Mathieu Couture, R. T. Sharp, Pavel Winternitz, Jirí Patera

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529154

zbMATH Keywords

graded contractions of Lie algebrasnontoroidal contractionstoroidal grading

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Graded Lie (super)algebras (17B70)

Related Items (max. 100)

Contractions of low-dimensional Lie algebras ⋮ Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices ⋮ Varieties of nilpotent Lie superalgebras of dimension \(\leq 5\) ⋮ On Pauli graded contractions of sl(3, C) ⋮ Lowest-dimensional example on non-universality of generalized Inönü-Wigner contractions ⋮ Degenerations of Filippov algebras ⋮ The Lie algebra of the lowest transitively differential group of degree three ^* ⋮ Degenerations of 8-dimensional 2-step nilpotent Lie algebras ⋮ Contractions of Lie algebras and separation of variables. The n-dimensional sphere

Cites Work

• On the identification of a Lie algebra given by its structure constants. I: Direct decompositions, Levi decompositions, and nilradicals
• On Lie gradings. I
• Characters of Elements of Finite Order in Lie Groups
• Contraction of Lie Groups
• Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2
• Discrete and continuous graded contractions of Lie algebras and superalgebras
• The four sets of additive quantum numbers of SU(3)
• Invariants of real low dimension Lie algebras
• Inönü–Wigner contractions of the real four-dimensional Lie algebras
• Deformation and Contraction of Lie Algebras
• On the Contraction of Groups and Their Representations

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