Ideal classes of three dimensional Sklyanin algebras

Details Ideal classes of three dimensional Sklyanin algebras Ideal classes of three dimensional Sklyanin algebras

2005-03-31

arxiv.org/abs/math/0503729v1

Journal of Algebra 276 (2004) 515-551

Mathematics

Rings and Algebras

30 pages

Scientific paper

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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