In mathematics, specifically the field of algebra, Sklyanin algebras are a class of noncommutative algebra named after Evgeny Sklyanin. This class of algebras was first studied in the classification of Artin-Schelter regular[1] algebras of global dimension 3 in the 1980s.[2] Sklyanin algebras can be grouped into two different types, the non-degenerate Sklyanin algebras and the degenerate Sklyanin algebras, which have very different properties. A need to understand the non-degenerate Sklyanin algebras better has led to the development of the study of point modules in noncommutative geometry.[2]
^Cite error: The named reference :3 was invoked but never defined (see the help page).
^ abRogalski, D. (2014-03-12). "An introduction to Noncommutative Projective Geometry". arXiv:1403.3065 [math.RA].
specifically the field of algebra, Sklyaninalgebras are a class of noncommutative algebra named after Evgeny Sklyanin. This class of algebras was first studied...
cubic divisor happens to be an elliptic curve, then the algebra is called a Sklyaninalgebra. The notion is studied in the context of noncommutative projective...
Evgeny Konstantinovich Sklyanin (Russian: Евгений Константинович Склянин, born May 24, 1955, in Leningrad, Soviet Union) is a mathematical physicist, currently...
Michigan in 2011. Her dissertation, On Degenerations and Deformations of SklyaninAlgebras, was jointly supervised by Toby Stafford [de] and Karen E. Smith,...
developed by the Leningrad School (Ludwig Faddeev, Leon Takhtajan, Evgeny Sklyanin, Nicolai Reshetikhin and Vladimir Korepin) and related work by the Japanese...
several methods of solution, including Algebraic Bethe ansatz, used by Gaudin Separation of variables, used by Sklyanin Correlation functions/opers, using...
summarized as follows (Evgeny Sklyanin 1992): Take an R-matrix which solves the Yang–Baxter equation. Take a representation of an algebra T R {\displaystyle {\mathcal...
S2CID 15180985. Faddeev, Ludwig (1992). "How Algebraic Bethe Ansatz works for integrable model". arXiv:hep-th/9211111. Sklyanin, E. K. (1985). "The quantum Toda chain"...
His mother, Vera Faddeeva, was known for her work in numerical linear algebra. Faddeev attended Leningrad University, receiving his undergraduate degree...
of moduli spaces. Together with Ludvig Faddeev and Evgeny Sklyanin he formulated the algebraic Bethe ansatz and quantum inverse scattering method. Together...
Miura Tetsuji Miwa Alan Newell Nicolai Reshetikhin Aleksei Shabat Evgeny Sklyanin Mikio Sato Elliott H. Lieb Graeme Segal George Wilson Vladimir E. Zakharov...
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