The Jacobian, Reflection Arrangement and Discriminant for Reflection Hopf Algebras

Author:

Kirkman E1,Zhang J J2

Affiliation:

1. Department of Mathematics, P. O. Box 7388, Wake Forest University, Winston-Salem, NC 27109, USA

2. Department of Mathematics, Box 354350, University of Washington, Seattle, WA 98195, USA

Abstract

Abstract We study finite-dimensional semisimple Hopf algebra actions on noetherian connected graded Artin–Schelter regular algebras and introduce definitions of the Jacobian, the reflection arrangement, and the discriminant in a noncommutative setting.

Funder

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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