Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras

Details Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras

2012-03-30

arxiv.org/abs/1204.0044v1

Mathematics

Rings and Algebras

7 Pages

Scientific paper

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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