Contraction rule of \(q\)-deformed Levi-Civita symbol

DOI10.1007/BF00673957zbMath0829.53011OpenAlexW2045481151MaRDI QIDQ1345416

Hye-Jung Kang, Sang-Tack Nam, Ki-Soo Chung, Won-Sang Chung

Publication date: 17 January 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00673957

zbMATH Keywords

quantum groupsquantum planesnon-commutative differential geometryvector product of \(q\)-vectors

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87)

Related Items (4)

Quantum matrices in \(N\) dimensions ⋮ Theory of q-deformed forms. I: q-deformed alternating tensor and q-deformed wedge product ⋮ Theory of q-deformed forms. II: q-deformed differential forms and q-deformed Hamilton equation ⋮ Theory of q-deformed forms. III: q-deformed Hodge star, inner product, adjoint operator of exterior derivative, and self-dual Yang-Mills equation

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• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
• Two-dimensional quantum spaces corresponding to solutions of the Yang-Baxter equations
• Multiparameter R-matrices and their quantum groups
• Non-commutative differential calculus and q-analysis

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