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.
We provide a description of the tilting complexes of a PI algebra whose spectrum is canonical homeomorphic to the one of its center.
We prove the Chan-Young-Zhang conjecture on graded isolated singularities.
