A note on the discriminant of reflection Hopf algebras
Ruipeng Zhu
TL;DR
This paper presents a formula for computing the discriminant of skew Calabi-Yau algebras over central Calabi-Yau algebras and applies it to reflection Hopf algebras to analyze their Jacobian and discriminant.
Contribution
It introduces a new formula for discriminants in skew Calabi-Yau algebras and applies it specifically to reflection Hopf algebras, advancing understanding in this area.
Findings
Derived a formula for discriminants of skew Calabi-Yau algebras
Applied the formula to reflection Hopf algebras
Analyzed the Jacobian and discriminant in this context
Abstract
We provide a formula for commputing 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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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons