A note on the discriminant of reflection Hopf algebras

We provide a formula for computing the discriminant of skew Calabi-Yau algebra over a central Calabi-Yau algebra. This method is applied to study the Jacobian and discriminant for reflection Hopf algebras.

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Bibliographic Details
Published in:Journal of algebra 2022-08, Vol.604, p.1-27
Main Author: Zhu, Ruipeng
Format: Article
Language:English
Subjects:
Artin-Schelter regular algebra
Discriminant
Frobenius algebra
Reflection Hopf algebra
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Description
Summary:We provide a formula for computing the discriminant of skew Calabi-Yau algebra over a central Calabi-Yau algebra. This method is applied to study the Jacobian and discriminant for reflection Hopf algebras.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2022.04.009