DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY

DOI10.1142/S021821659900047XzbMath0937.58005arXivq-alg/9603018OpenAlexW2029385297MaRDI QIDQ4268051

Shahn Majid

Publication date: 27 October 1999

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9603018

zbMATH Keywords

noncommutative geometrygauge theoryconnectionsfiber bundleprincipal bundlesbraided groupsanyonic symmetry

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Geometry of quantum groups (58B32) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (3)

Braided cyclic cocycles and nonassociative geometry ⋮ Quantum and braided group Riemannian geometry ⋮ Gauge theory on nonassociative spaces

Cites Work

• Braided groups and algebraic quantum field theories
• Quantum group gauge theory on quantum spaces
• Cross products by braided groups and bosonization
• Quantum and braided-Lie algebras
• Strong connections on quantum principal bundles
• Braided groups
• Translation map in quantum principal bundles
• Quantum groups and representations of monoidal categories
• Hopf algebras for physics at the Planck scale
• Examples of braided groups and braided matrices
• Braided momentum in the q-Poincaré group
• Quantum and braided linear algebra
• Equivalent crossed products for a hopf algebra
• Crossed products by a coalgebra
• SOLUTIONS OF THE YANG-BAXTER EQUATIONS FROM BRAIDED-LIE ALGEBRAS AND BRAIDED GROUPS
• Transmutation theory and rank for quantum braided groups

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