Cohomological properties of the quantum shuffle product and application to the construction of quasi-Hopf algebras

DOI10.1016/S0022-4049(02)00015-4zbMath1004.16040arXivmath/0112141OpenAlexW2130446117MaRDI QIDQ1612175

Cyrille Ospel

Publication date: 22 August 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112141

zbMATH Keywords

braid groupscomplexesquasi-Hopf superalgebrasHochschild-Serre identityquantum shuffle products

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Syzygies, resolutions, complexes in associative algebras (16E05) Smash products of general Hopf actions (16S40) ``Super (or ``skew) structure (16W55)

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Cites Work

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• Relative cohomology of groups
• Solutions of the braid equation related to a Hopf algebra
• Braided tensor categories
• Extensions of Hopf algebras and their cohomological description
• Integrals of vertex operators and quantum shuffles
• On the groups \(H(\Pi,n)\). I
• Bialgebras of type one^*
• A generalization of the quasi-Hopf algebra D ^ω(G)
• Hochschild Homology in a Braided Tensor Category
• Cohomology of Algebras Over Hopf Algebras
• Cohomology of Group Extensions
• Homology
• Quasi Hopf algebras, group cohomology and orbifold models