## Hopf Algebra Action on some AS-Regular Algebras of Small Dimension

#### Luigi Ferraro – Wake Forest University

The classical Chevalley-Shephard-Todd Theorem gives a characterization of when a group acting linearly on the commutative polynomial ring has a ring of invariants that is isomorphic to a polynomial ring. Understanding when group actions (or more generally, Hopf actions) on AS-regular algebras give AS-regular invariant rings has proven to be a difficult problem. We pro- vide some new examples of Hopf actions on some AS-regular algebras such that the ring of invariants is also AS-regular.

Refreshments at 3:00, Martin-O, first floor. (Note that this talk is on a Tuesday.)