The Next Step Beyond Graded Lie Algebra: Recoupling Lie Algebra

DOI10.1007/S10582-004-9797-8zbMath1465.17025OpenAlexW2025736759WikidataQ115384092 ScholiaQ115384092MaRDI QIDQ5000525

William P. Joyce

Publication date: 14 July 2021

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

Full work available at URL: https://doi.org/10.1007/s10582-004-9797-8

zbMATH Keywords

Poincaré-Birkhoff-Witt theoremrecoupling Lie algebrauniversal \(\omega\)-algebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81)

Cites Work

• The theory of Lie superalgebras. An introduction
• Braided tensor categories
• About nonassociativity in mathematics and physics
• Braided premonoidal Mac Lane coherence
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Generalized Lie algebras
• Quark state confinement as a consequence of the extension of the Bose–Fermi recoupling toSU(3) colour
• Recoupling Lie algebra and universal ω-algebra

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