On Regularity of the Algebra of Covariants for Actions of Pointed Hopf Algebras on Regular Commutative Algebras

doi:10.1201/9780429187919-14

Chapter

On Regularity of the Algebra of Covariants for Actions of Pointed Hopf Algebras on Regular Commutative Algebras

ABSTRACT

Let H be a Hopf algebra over an algebraically closed field and let A be a commutative H‐module algebra. Sufficient conditions are given for the algebra of coinvariants A _H = A / (ha ; h ∈ Ker ε, a ∈ A) to be regular.