Ideal classes of three-dimensional Sklyanin algebras

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• 作者：de Naeghel ; Koen ; van den Bergh ; Michel
• 关键词：Weyl algebra ; Elliptic quantum planes ; Ideals
• 刊名：Journal of Algebra
• 出版年：2004
• 出版时间：June 15, 2004
• 年：2004
• 卷：276
• 期：2
• 页码：515-551
• 全文大小：397 K

文摘

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.