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arXiv · 1204.0044

Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras

Manizheh Nafari·Michaela Vancliff
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Abstract

We prove that if $A$ is a regular graded skew Clifford algebra and is a twist of a regular graded Clifford algebra $B$ by an automorphism, then the subalgebra of $A$ generated by a certain normalizing sequence of homogeneous degree-two elements is a twist of a polynomial ring by an automorphism, and is a skew polynomial ring. We also present an example that demonstrates that this can fail when $A$ is not a twist of $B$.

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Manizheh Nafari, Michaela Vancliff. 2012-03-30. Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras. https://arxiv.org/abs/1204.0044

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