Quantization of locally compact groups associated with essentially bijective \(1\)-cocycles

DOI10.1142/S0129167X24500277zbMATH Open1543.22002MaRDI QIDQ6563068

Pierre Bieliavsky, Sergey Neshveyev, Lars Tuset, V. Gayral

Publication date: 27 June 2024

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

locally compact quantum groupsdual cocyclespentagonal cohomology

Mathematics Subject Classification ID

Quantum groups (quantized function algebras) and their representations (20G42) General properties and structure of locally compact groups (22D05) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

• On groups of central type, non-degenerate and bijective cohomology classes.
• Classification of cyclic braces.
• A method of construction of finite-dimensional triangular semisimple Hopf algebras
• Free left-symmetric algebras and an analogue of the Poincaré-Birkhoff- Witt theorem
• Non-semi-regular quantum groups coming from number theory
• Extensions, matched products, and simple braces
• A locally compact quantum group arising from quantization of the affine group of a local field
• Extensions of locally compact quantum groups and the bicrossed product construction.
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Quantization of subgroups of the affine group
• Isocategorical groups
• ON SECOND COHOMOLOGY OF DUALS OF COMPACT GROUPS
• Galois objects and cocycle twisting for locally compact quantum groups
• Measurable Kac cohomology for bicrossed products
• On frobenius lie algebras
• Group Extensions and Cohomology for Locally Compact Groups. III
• Transformations pentagonales
• EXTENSIONS OF GROUPS TO RING GROUPS

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