4-dimensional Artin-Schelter regular quadratic H4-algebras
Abstract
In this paper, quadratic algebras on which H4, the Heisenberg group of order 64, acts as degree-preserving algebra automorphisms are studied. In particular, we show that if A is a four-dimensional Artin-Schelter regular quadratic H4-algebra with the degree one part isomorphic to the Schr\"odinger representation of H4, then A is (a twist of) a four-dimensional Sklyanin algebra or (a twist of) a quantum Clifford algebra of global dimension 4.
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