Cocycle twists of 4-dimensional Sklyanin algebras
نویسندگان
چکیده
منابع مشابه
Representation 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 کاملBiproducts and Two-cocycle Twists of Hopf Algebras
Let H be a Hopf algebra with bijective antipode over a field k and suppose that R#H is a bi-product. Then R is a bialgebra in the Yetter–Drinfel’d category HYD. We describe the bialgebras (R#H) and (R#H) explicitly as bi-products R#Hop and R#H respectively where R is a bialgebra in H op HopYD and R o is a bialgebra in H o HoYD. We use our results to describe two-cocycle twist bialgebra structur...
متن کاملDegenerate 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 کاملModules over the 4-dimensional Sklyanin Algebra
egalement que l'alg ebre de Sklyanin peut ^ etre d eenie a l'aide des bilin eaires s'annulant sur une certaine sous-vari et e de P 3 P 3 : ABSTRACT. This paper studies point modules and line modules over the algebra deened by E.K. Sklyanin in 17]. It was proved in 21] that the point modules are in bijection with the points of an elliptic curve E in P 3 together with 4 other points. Here it is p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2016
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2016.01.046