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2020 Isomorphisms of graded skew Clifford algebras
Richard G. Chandler, Nicholas Engel
Involve 13(5): 871-878 (2020). DOI: 10.2140/involve.2020.13.871

Abstract

A regular algebra of global dimension n+1 is often called a quantum n. In 2011, Nafari, Vancliff and Zhang showed that graded skew Clifford algebras (GSCAs) could be used to classify most quadratic quantum 2s. 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 3. These results suggest that (the isomorphism classes of) GSCAs are likely to play a fundamental role in the classification of quadratic quantum 3s. In this article, we will discuss some of these results on GSCAs and discuss new results on isomorphisms between GSCAs.

Citation

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Richard G. Chandler. Nicholas Engel. "Isomorphisms of graded skew Clifford algebras." Involve 13 (5) 871 - 878, 2020. https://doi.org/10.2140/involve.2020.13.871

Information

Received: 22 June 2020; Revised: 7 August 2020; Accepted: 10 August 2020; Published: 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4190444
Digital Object Identifier: 10.2140/involve.2020.13.871

Subjects:
Primary: 16S37, 16S38

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.13 • No. 5 • 2020
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