On Yang-Baxter equation and Calabi-Yau property of Koszul algebras

DOI10.1080/00927872.2023.2214203OpenAlexW4377966051MaRDI QIDQ6094244

I. E. Mizomov

Publication date: 10 October 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2023.2214203

zbMATH Keywords

Sklyanin algebraKoszul Calabi-Yau algebra

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Quadratic and Koszul algebras (16S37)

Cites Work

• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Superpotentials and higher order derivations.
• Modules over regular algebras of dimension 3
• The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras
• Elliptic Sklyanin algebras. The case of points of finite order
• Homological properties of Sklyanin algebras
• Calabi-Yau algebras and the shifted noncommutative symplectic structure
• Calabi-Yau algebras and superpotentials
• Graded Calabi Yau algebras of dimension 3.
• Multilinear forms and graded algebras
• On Frobenius algebras and the quantum Yang-Baxter equation
• Elliptic algebras
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