Graded Clifford Algebras of Prime Global Dimension with an Action of H p.

In this article, we study graded Clifford algebras with a gradation preserving action of automorphisms given byHp, the Heisenberg group of orderp3withpprime. After reviewing results in dimensions 3 and 4, we will determine the graded Clifford algebras that areAS-regular algebras of global dimension 5 and generalize certain results to arbitrary dimensionp. [ABSTRACT FROM AUTHOR]