It is well-known that Sklyanin algebras are Koszul, but, is it known an explicit description of the dual algebra Ext_A(k,k)? (I mean in terms of generators and relations)
Section 10 of the following paper spells out this example.
Smith, S. Paul, Some finite dimensional algebras related to elliptic curves, Bautista, Raymundo (ed.) et al., Representation theory of algebras and related topics. Proceedings of the workshop, Mexico City, Mexico, August 16-20, 1994. Providence, RI: American Mathematical Society. CMS Conf. Proc. 19, 315-348 (1996). ZBL0856.16009.