Homological properties of quantum permutation algebras

zbMath1386.16015arXiv1704.00589MaRDI QIDQ1747847

Malte Gerhold, Uwe Franz, Julien Bichon

Publication date: 27 April 2018

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00589

zbMATH Keywords

Hopf algebrasHochschild cohomologyquantum permutation algebrasCalabi-Yau algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Hopf algebras and their applications (16T05)

Related Items (6)

On the monoidal invariance of the cohomological dimension of Hopf algebras ⋮ Second cohomology groups of the Hopf\(^*\)-algebras associated to universal unitary quantum groups ⋮ Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups ⋮ Quantum permutation matrices ⋮ Free resolutions for free unitary quantum groups and universal cosovereign Hopf algebras ⋮ An in-depth look at quotient modules

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