Double product integrals and Enriquez quantization of Lie bialgebras I: The quasitriangular identities

DOI10.1063/1.1649796zbMath1071.81073OpenAlexW1993162184MaRDI QIDQ4833408

Sylvia Pulmannová, Robin L. Hudson

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1649796

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum stochastic calculus (81S25) Lie bialgebras; Lie coalgebras (17B62)

Related Items (5)

Comment on “Double product integrals and Enriquez quantization of Lie bialgebras I: The quasitriangular identities” [Hudson and Pulmannová, J. Math. Phys. 45, 2090 (2004)] ⋮ Algebraic Theory of Causal Double Products ⋮ HOPF-ALGEBRAIC ASPECTS OF ITERATED STOCHASTIC INTEGRALS ⋮ Double product integrals and Enriquez quantisation of Lie bialgebras. II: The quantum Yang-Baxter equation ⋮ Forward and backward adapted quantum stochastic calculus and double product integrals

Cites Work

• Quantization of Lie bialgebras and shuffle algebras of Lie algebras
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Quantization of Lie bialgebras. I
• Symmetrized double quantum stochastic product integrals
• Algebraic theory of product integrals in quantum stochastic calculus
• CALCULUS IN ENVELOPING ALGEBRAS
• Chaotic Expansion of Elements of the Universal Enveloping Algebra of a Lie Algebra Associated with a Quantum Stochastic Calculus

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