Invariant tensors and Casimir operators for simple compact Lie groups

DOI10.1063/1.532552zbMath0949.22018arXivphysics/9802012OpenAlexW3106018859WikidataQ115328455 ScholiaQ115328455MaRDI QIDQ4701505

Arthur J. Mountain

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/physics/9802012

zbMATH Keywords

simple Lie algebraCasimir operatorssimple compact Lie groupsymmetric invariant tensors

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Cites Work

• Higher-order simple Lie algebras
• Invariant tensors for simple groups
• Modified fourth-order Casimir invariants and indices for simple Lie algebras
• General indices of representations and Casimir invariants
• Casimir invariants and vector operators in simple and classical Lie algebras
• S Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras
• On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
• Invariant Operators of the Unitary Unimodular Group in n Dimensions
• CASIMIR OPERATORS FOR SEMISIMPLE LIE GROUPS