26 citations · 168 across the 36 of their papers we have counts for
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Poisson geometry and representations of PI 4-dimensional Sklyanin algebras
Chelsea Walton, Xingting Wang, Milen Yakimov
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…
Poisson geometry of PI 3-dimensional Sklyanin algebras
Chelsea Walton, Xingting Wang, Milen Yakimov
We give the 3-dimensional Sklyanin algebras that are module-finite over their center the structure of a Poisson -order (in the sense of Brown-Gordon). We show that the i…
Explicit representations of 3-dimensional Sklyanin algebras associated to a point of order 2
Daniel J. Reich, Chelsea Walton
The representation theory of a 3-dimensional Sklyanin algebra depends on its (noncommutative projective algebro-) geometric data: an elliptic curve in , and a…
Representation theory of three-dimensional Sklyanin algebras
Chelsea Walton
We determine the dimensions of the irreducible representations of the Sklyanin algebras with global dimension 3. This contributes to the study of marginal deformations of the N=4 s…