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Isomorphisms of
graded skew Clifford algebras
Richard G. Chandler and Nicholas Engel
Vol. 13 (2020), No. 5, 871–878
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Abstract |
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A regular algebra of global dimension is often called a quantum . In 2011, Nafari, Vancliff and Zhang showed that graded skew Clifford algebras (GSCAs) could be used to classify most quadratic quantum s. Some time later, Chandler, Tomlin and Vancliff used their work with certain families of GSCAs to develop a conjecture on the quantum space of a generic quadratic quantum . These results suggest that (the isomorphism classes of) GSCAs are likely to play a fundamental role in the classification of quadratic quantum s. In this article, we will discuss some of these results on GSCAs and discuss new results on isomorphisms between GSCAs. |
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Keywords
graded skew Clifford algebras, $\mu$-symmetry, isomorphisms
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Mathematical Subject Classification
Primary: 16S37, 16S38
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Milestones
Received: 22 June 2020
Revised: 7 August 2020
Accepted: 10 August 2020
Published: 5 December 2020
Communicated by Vadim Ponomarenko
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Authors |
| Richard G. Chandler | |
| Department of Mathematics and
Information Sciences University of North Texas at Dallas Dallas, TX United States |
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| Nicholas Engel | |
| Department of Mathematics University of Texas at Arlington Arlington, TX United States |
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