Algebra publication
Title
A translation principle
for the four-dimensional Sklyanin algebras
Author(s)
M. Van den Bergh.
Year
1994
Abstract
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 P^1.
The translation principle may be used to construct the fat points of
a four-dimensional, non-PI, Sklyanin algebra.
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