Elliptic algebras

DOI10.1070/RM2002v057n06ABEH000573zbMath1062.16035OpenAlexW3037071889MaRDI QIDQ4816628

Alexander Odesskii

Publication date: 10 September 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2002v057n06abeh000573

zbMATH Keywords

elliptic curvesgraded algebrasintegrable systemsmoduli spacesdeformation quantizationsquadratic algebrasPBW-algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Elliptic curves (14H52) Deformation quantization, star products (53D55) Poisson algebras (17B63) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items

Cocycle twists of 4-dimensional Sklyanin algebras, Difference operators of Sklyanin and van Diejen type., Three dimensional Sklyanin algebras and Gröbner bases, Sklyanin algebras and Hilbert schemes of points, Poisson structures on loop spaces of \(\mathbb{C} P^n\) and an \(r\)-matrix associated with the universal elliptic curve, On Yang-Baxter equation and Calabi-Yau property of Koszul algebras, Intertwining operators for Sklyanin algebra and elliptic hypergeometric series, Elliptic R-matrices and Feigin and Odesskii's elliptic algebras, Cocycle twists of algebras, Noncommutative elliptic Poisson structures on projective spaces, A commutative algebra on degenerate CP1 and Macdonald polynomials, Large commutative subalgebras of quantum algebras., Shifted Poisson structures and moduli spaces of complexes, Flat deformations of algebras and functional equations, Compatible Lie brackets related to elliptic curve