Regularity of Algebras Related to the Sklyanin Algebra

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1994Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 341, page 895 (issn: 0002-9947,

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Authors: Stafford, J. T.;

doi: 10.2307/2154589 , 10.1090/s0002-9947-1994-1148046-4

Regularity of Algebras Related to the Sklyanin Algebra

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Abstract

This paper continues the research of [SS] by finding further examples of (Artin-Schelter) regular rings of dimension four. Unlike the threedimensional case studied in [ATV1, 2], these examples show that the fourdimensional regular rings are not uniquely determined by their associated geometric data. Indeed, we find a one-parameter family of regular algebras associated to this data.

Keywords

Hilbert series, Noetherian rings and modules (associative rings and algebras), Homological dimension in associative algebras, Graded rings and modules (associative rings and algebras), Elliptic curves, Quantum groups (quantized enveloping algebras) and related deformations, Sklyanin algebras, Koszul algebra, AS-regular algebras

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