Deformations of Quadratic Algebras with Antisymmetric Relations

DOI10.1080/00927872.2010.488672zbMath1259.16036OpenAlexW2055488552MaRDI QIDQ3094828

Suhong Zhang, Ji-Wei He

Publication date: 27 October 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.488672

zbMATH Keywords

weakly symmetric algebrasquadratic algebrasCalabi-Yau algebrasPBW-deformations

Mathematics Subject Classification ID

Deformations of associative rings (16S80) Differential graded algebras and applications (associative algebraic aspects) (16E45) Quadratic and Koszul algebras (16S37) Hopf algebras and their applications (16T05)

Related Items (2)

Nakayama automorphisms of PBW deformations and Hopf actions. ⋮ Skew Calabi-Yau property of normal extensions

Cites Work

• Cocommutative Calabi-Yau Hopf algebras and deformations.
• PBW-deformations of \(N\)-Koszul algebras.
• Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras.
• Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras.
• Cyclic homology of enveloping algebras
• Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
• Graded Calabi Yau algebras of dimension 3.
• Multilinear forms and graded algebras
• Gerasimov's theorem and N ‐Koszul algebras

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