Second cohomology groups of the Hopf\(^*\)-algebras associated to universal unitary quantum groups

DOI10.5802/aif.3527zbMath1517.16006arXiv2104.07933OpenAlexW3153118488WikidataQ114013425 ScholiaQ114013425MaRDI QIDQ6043798

Anna Kula, Uwe Franz, Adam G. Skalski, Biswarup Das

Publication date: 24 May 2023

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07933

zbMATH Keywords

cohomology groupcompact quantum groupHopf\(^*\)-algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Ring-theoretic aspects of quantum groups (16T20)

Related Items (1)

Free resolutions for free unitary quantum groups and universal cosovereign Hopf algebras

Cites Work

• Quantum Bohr compactification
• Homology of free quantum groups
• Compact matrix pseudogroups
• The free compact quantum group \(U(n)\)
• Cohomological dimensions of universal cosovereign Hopf algebras
• Orthogonal free quantum group factors are strongly 1-bounded
• Homological properties of quantum permutation algebras
• The RFD and Kac quotients of the Hopf\(^\ast\)-algebras of universal orthogonal quantum groups
• An invitation to quantum groups and duality. From Hopf algebras to multiplicative unitaries and beyond
• Lévy–Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups
• UNIVERSAL QUANTUM GROUPS
• Hochschild homology of Hopf algebras and free Yetter–Drinfeld resolutions of the counit

This page was built for publication: Second cohomology groups of the Hopf\(^*\)-algebras associated to universal unitary quantum groups