Algebra publication
Title
Homological properties of Sklyanin algebras.
Author(s)
J. Tate,
M. Van den Bergh.
Year
1993
Abstract
To a pair consisting of an elliptic curve and a point on it, Odeskii and
Feigin associate certain quadratic algebras (``Sklyanin algebras''), having
the Hilbert series of a polynomial algebra.
In this paper we show that Sklyanin algebras have good homological
properties and we obtain some information about their so-called linear modules.
We also show how the construction by Odeskii and Feigin may be
generalized so as to yield other ``Sklyanin-type'' algebras.
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