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arXiv · 1501.07530

Some algebras similar to the 2x2 Jordanian matrix algebras

Jason Gaddis·Kenneth L. Price
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Abstract

The impetus for this study is the work of Dumas and Rigal on the Jordanian deformation of the ring of coordinate functions on $2\times 2$ matrices. We are also motivated by current interest in birational equivalence of noncommutative rings. Recognizing the construction of the Jordanian matrix algebra as a skew polynomial ring, we construct a family of algebras relative to differential operator rings over a polynomial ring in one variable which are birationally equivalent to the Weyl algebra over a polynomial ring in two variables.

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Jason Gaddis, Kenneth L. Price. 2015-01-29. Some algebras similar to the 2x2 Jordanian matrix algebras. https://doi.org/10.1080/00927872.2016.1226877

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