Theory of q-deformed forms. III: q-deformed Hodge star, inner product, adjoint operator of exterior derivative, and self-dual Yang-Mills equation

DOI10.1007/BF02302407zbMath0854.58003MaRDI QIDQ1919231

Won-Sang Chung

Publication date: 18 September 1996

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

zbMATH Keywords

inner productexterior derivative\(q\)-deformed Hodge star operator\(q\)-deformed self-dual Yang-Mills theory

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Differential forms in global analysis (58A10)

Related Items (4)

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 ⋮ Constructing p, n-forms from p-forms via the Hodge star operator and the exterior derivative ⋮ Estimation and inference for case-control studies with multiple non-gold standard exposure assessments: with an occupational health application

Cites Work

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• 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
• REMARKS ON DIFFERENTIAL CALCULI ON MANIN'S PLANE
• DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES
• Two-dimensional quantum spaces corresponding to solutions of the Yang-Baxter equations
• Non-commutative differential calculus and q-analysis
• Comment on the solutions of the graded Yang–Baxter equation

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