GENERALIZATION OF THE GELL–MANN DECONTRACTION FORMULA FOR sl(n,ℝ) AND su(n) ALGEBRAS

DOI10.1142/S0219887811005208zbMath1280.17009arXiv1006.1224OpenAlexW2595616607MaRDI QIDQ3007741

Djordje Šijački, Igor Salom

Publication date: 17 June 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1224

zbMATH Keywords

Lie algebrasGell-Mann decontraction formula\(\text{sl}(n\(\text{su}(n)\) algebra\mathbb R)\) algebra\mathbb R)\) representation generatorsalgebra contractionsalgebra decontractions

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (3)

VALIDITY OF THE GELL-MANN FORMULA FOR sl(n, ℝ) AND su(n) ALGEBRAS ⋮ Generalization of the Gell–Mann Decontraction Formula for sl(n, $$ \mathbb{R} $$ ) and Its Applications in Affine Gravity ⋮ SL(n, R) IN PARTICLE PHYSICS AND GRAVITY — DECONTRACTION FORMULA AND UNITARY IRREDUCIBLE REPRESENTATIONS

Cites Work

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• Unnamed Item
• The Gell-Mann formula for representations of semisimple groups
• All SL(3,R) ladder representations
• GENERALIZATION OF THE GELL-MANN FORMULA FOR sl(5, ℝ) AND su(5) ALGEBRAS
• Gell-Mann formula for simple complex Lie groups and geometric quantization
• The unitary irreducible representations of SL¯ (3,R)
• Spinors for spinning p -branes
• An extension theorem for inhomogeneous rotation groups
• Expansion of Lie Groups and Representations of SL(3, C)
• Representations of Semisimple Lie Groups on a Banach Space
• On the Contraction of Groups and Their Representations

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