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arxiv: math/0503729 · v1 · submitted 2005-03-31 · 🧮 math.RA · math.AG

Ideal classes of three dimensional Sklyanin algebras

classification 🧮 math.RA math.AG
keywords algebrasclassificationdimensionalidealsthreealgebraartin-scheltercertain
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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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