منابع مشابه
Degenerate Sklyanin Algebras
New trigonometric and rational solutions of the quantum Yang-Baxter equation (QYBE) are obtained by applying some singular gauge transformations to the known Belavin-Drinfeld elliptic R-matrix for sl(2,C). These solutions are shown to be related to the standard ones by the quasi-Hopf twist. We demonstrate that the quantum algebras arising from these new R-matrices can be obtained as special lim...
متن کاملDegenerate Sklyanin Algebras and Generalized Twisted Homogeneous Coordinate Rings
In this work, we introduce the point parameter ring B, a generalized twisted homogeneous coordinate ring associated to a degenerate version of the three-dimensional Sklyanin algebra. The surprising geometry of these algebras yields an analogue to a result of Artin-Tatevan den Bergh, namely that B is generated in degree one and thus is a factor of the corresponding degenerate Sklyanin algebra.
متن کاملPoint modules over Sklyanin algebras
Definition 1.1 [5] Fix a degree n line bundle ~ on E. Set V = H ~ (E, ~ ) . Identify V| with H~174 Define the shifted diagonal A~:={(x,x+ (n-2)r) lx~E}. Denote by M the set of fixed points for the involution (x, y) ~ (y + 2r, x 2r) on E • E. We say that a divisor D on E • E is allowable if D is stable under this involution, and M occurs in D with even multiplicity. The n-dimensional Sklyanin al...
متن کاملRepresentation Theory of Three-dimensional Sklyanin Algebras
Abstract. 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 super Yang-Mills theory in four dimensions in supersymmetric string theory. Namely, the classification of such representations is equivalent to determining the vacua of the aforementioned deformed theories. W...
متن کاملSklyanin Algebras and Hilbert Schemes of Points
We construct projective moduli spaces for torsion-free sheaves on noncommutative projective planes. These moduli spaces vary smoothly in the parameters describing the noncommutative plane and have good properties analogous to those of moduli spaces of sheaves over the usual (commutative) projective plane P. The generic noncommutative plane corresponds to the Sklyanin algebra S = Skl(E,σ) constr...
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ژورنال
عنوان ژورنال: Open Physics
سال: 2010
ISSN: 2391-5471
DOI: 10.2478/s11534-009-0142-5