Ideal classes of three dimensional Sklyanin algebras

K. De Naeghel; M. Van den Bergh

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Ideal classes of three dimensional Sklyanin algebras

K. De Naeghel·M. Van den Bergh

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Abstract

In this paper we classify graded reflexive ideals, up to isomorphism and shift, in certain three dimensional Artin-Schelter regular algebras. This classification is similar to the classification of right ideals in the first Weyl algebra, a problem that was completely settled recently. The situation we consider is substantially more complicated however.

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K. De Naeghel, M. Van den Bergh. 2005-03-31. Ideal classes of three dimensional Sklyanin algebras. https://arxiv.org/abs/math/0503729

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