Quantization of quasi-Lie bialgebras

DOI10.1090/S0894-0347-10-00654-5zbMath1328.17016arXiv0804.0496MaRDI QIDQ3584358

Gilles Halbout, Benjamin Enriquez

Publication date: 27 August 2010

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0496

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie bialgebras; Lie coalgebras (17B62) Hopf algebras and their applications (16T05)

Related Items (3)

A note on multi-oriented graph complexes and deformation quantization of Lie bialgebroids ⋮ A Duflo star product for Poisson groups ⋮ On quantization of quasi-Lie bialgebras

Cites Work

• The Kashiwara-Vergne conjecture and Drinfeld's associators
• Quantization of coboundary Lie bialgebras
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• Quantization of Lie bialgebras. II, III
• The quantum duality principle
• Quantization of Lie bialgebras. I
• Bialgebra cohomology, deformations, and quantum groups.
• Topology and logic as a source of algebra
• On some universal algebras associated to the category of Lie bialgebras
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