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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