Free braided differential calculus, braided binomial theorem, and the braided exponential map

DOI10.1063/1.530326zbMath0807.16035arXivhep-th/9302076OpenAlexW3103762749MaRDI QIDQ4276731

Shahn Majid

Publication date: 28 February 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9302076

zbMATH Keywords

exponential mapWeyl algebradifferential operatorsbraided Hopf algebrabinomial coefficientscomultiplicationbraided additive categorybraided binomial theorembraided covectorsfree braided tensor algebrageneric \(R\)-matrixYang-Baxter matrix

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) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Applications of Lie (super)algebras to physics, etc. (17B81) Enriched categories (over closed or monoidal categories) (18D20)

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Cites Work

• The spectrum of the algebra of skew differential operators and the irreducible representations of the quantum Heisenberg algebra
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• Quantum group-symmetric Fock spaces with Bargmann-Fock representation
• \(q\)-deformed Poincaré algebra
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• ON q-REGULARIZATION
• A QUANTUM LORENTZ GROUP
• Examples of braided groups and braided matrices
• C-statistical quantum groups and Weyl algebras
• Braided momentum in the q-Poincaré group
• Quantum and braided linear algebra