The binary cubic generic Clifford algebra has PI degree three, its irreducible representations are one- or three-dimensional, and the Clifford algebra of a cubic form is Azumaya exactly when the form's coefficients avoid the affine twisted cubic.
Artin, On Azumaya algebras and finite dimensional representa tions of rings, J
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A note on generic Clifford algebras of binary cubic forms
The binary cubic generic Clifford algebra has PI degree three, its irreducible representations are one- or three-dimensional, and the Clifford algebra of a cubic form is Azumaya exactly when the form's coefficients avoid the affine twisted cubic.