Article

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

I. MizomovV. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

Communications in Algebrajournal2023en

ABI

Abstract

–A well-known result of Beidar, Fong, and Stolin yields a description of symmetric Frobenius algebras through solutions of the quantum Yang-Baxter equation. We will prove a graded version of this theorem and produce a new characterization of Koszul Calabi-Yau algebras. We give another proof of the Calabi-Yau property for three and four-dimensional Sklyanin algebras as an application.

Topics

Algebraic structures and combinatorial models Advanced Topics in Algebra Nonlinear Waves and Solitons

Identifiers

DOI: 10.1080/00927872.2023.2214203

Citations and references

Cited by 010 references

Metrics — AkademScholar · Coming soon