The Koszul dual of a Sklyanin algebra A is a finite dimensional graded algebra depending
on an elliptic curve, a translation automorphism, and an integer n> 3; it may be defined as …

This survey is devoted to associative-graded algebras presented by generators and
quadratic relations and satisfying the so-called Poincaré-Birkhoff-Witt condition (PBW …

Around 1960 it was shown that the group cohomology ring of a finite group G is a
Noetherian ring (see [Ev, Go, V]). Further results on the structure of the group cohomology …

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 …

Let A be a positively graded, connected affine C-algebra generated in degree one which is a
finite module over a central subring R. Let A be the structure sheaf over Proj (R) and SpecZ …

We give the three‐dimensional Sklyanin algebras S that are module‐finite over their center
Z, the structure of a Poisson Z‐order (in the sense of Brown–Gordon). We show that the …

It is proved that there exists a scheme that represents the functor of line modules over a
graded algebra, and it is called the line scheme of the algebra. Its properties and its …

The four-dimensional Sklyanin algebras are certain noncommutative graded algebras
having the same Hilbert series as the polynomial ring on four indeterminates. Their structure …

Take S to be a 4-dimensional Sklyanin (elliptic) algebra that is module-finite over its center
Z; thus, S is PI. Our first result is the construction of a Poisson Z-order structure on S such …

We study the elliptic algebras Q n, k (E, τ) introduced by Feigin and Odesskii as a
generalization of Sklyanin algebras. They form a family of quadratic algebras parametrized …