Braided geometry of the conformal algebra

DOI10.1063/1.531749zbMath0879.46043arXivq-alg/9601030OpenAlexW3098360573MaRDI QIDQ5284705

Shahn Majid

Publication date: 19 January 1998

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

Full work available at URL: https://arxiv.org/abs/q-alg/9601030

zbMATH Keywords

bosonization\(R\)-matrix\(q\)-Minkowski space\(q\)-Poincaré algebra\(q\)-conformal algebra\(R\)-commutatordouble-bosonizationsquasi-\(*\) structure

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Related Items

Conservation laws for linear equations on braided linear spaces, Classification of bicovariant differential calculi, Quantum and braided diffeomorphism groups

Cites Work

• Quantum group gauge theory on quantum spaces
• Cross products by braided groups and bosonization
• The quantum double as quantum mechanics
• Quantum and braided-Lie algebras
• \(q\)-Lorentz group and braided coaddition on \(q\)-Minkowski space
• Examples of braided groups and braided matrices
• Braided momentum in the q-Poincaré group
• Free braided differential calculus, braided binomial theorem, and the braided exponential map
• q-Euclidean space and quantum Wick rotation by twisting
• *-structures on braided spaces