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A Translation Principle for the Four-Dimensional Sklyanin Algebras

✍ Scribed by Michel Van den Bergh

Book ID
102570451
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
468 KB
Volume
184
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper we prove a translation principle for the central quotients of four-dimensional Sklyanin algebras, which is analogous to the translation principle for semi-simple Lie algebras. In the course of the proof we construct an ''elliptic'' analog of the sheaf of differential operators on ‫ސ‬ 1 . The translation principle may be used to construct the fat points of a four-dimensional, non-PI, Sklyanin algebra.

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