Geodesic
Elliptic algebras
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 6, pp. 1127-1162

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This survey is devoted to associative $\mathbb Z_{\geqslant 0}$-graded algebras presented by $n$ generators and $\frac{n(n-1)}2$ quadratic relations and satisfying the so-called Poincaré–Birkhoff–Witt condition (PBW-algebras). Examples are considered of such algebras, depending on two continuous parameters (namely, on an elliptic curve and a point on it), that are flat deformations of the polynomial ring in $n$ variables. Diverse properties of these algebras are described, together with their relations to integrable systems, deformation quantization, moduli spaces, and other directions of modern investigations. 
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     author = {A. V. Odesskii},
     title = {Elliptic algebras},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {1127--1162},
     publisher = {mathdoc},
     volume = {57},
     number = {6},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2002_57_6_a1/}
}
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A. V. Odesskii. Elliptic algebras. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 57 (2002) no. 6, pp. 1127-1162. http://geodesic.mathdoc.fr/item/RM_2002_57_6_a1/