Uncolouring of Lie colour algebras

DOI10.1017/S0004972700034080zbMath0887.17012MaRDI QIDQ4354641

A. J. Bracken, D. S. McAnally

Publication date: 2 November 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Yang-Baxter equationgraded Lie algebras\(R\)-matricesquasitriangularitycoloured Yang-Baxter equationgraded structurescolour Hopf algebrauncolouring

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Graded Lie (super)algebras (17B70)

Related Items

Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation ⋮ Generalized derivations of Lie color algebras ⋮ Structure of sympathetic Lie color algebras ⋮ A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators ⋮ The Z2×Z2-graded general linear Lie superalgebra

Cites Work

• Unnamed Item
• Casimir elements of ε Lie algebras
• Graded tensor calculus
• Casimir invariants, characteristic identities, and tensor operators for ‘‘strange’’ superalgebras
• Commutation factors on generalized Lie algebras
• Generalized Lie algebras
• Lie superalgebras