A note on even Clifford algebras of skew quadric hypersurfaces

Tomoya Oshio, Kenta Ueyama

Let $S_{\alpha }=k⟨x_1,\dots ,x_n⟩/(x_i{x}_j-{\alpha }_{ij}{x}_j{x}_i)$ be a standard graded skew polynomial algebra over an algebraically closed field $k$ of characteristic not equal…