Mathematics – Representation Theory
Scientific paper
2011-07-14
Mathematics
Representation Theory
22 pages
Scientific paper
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. We also provide the polynomial identity degree for the Sklyanin algebras that are module finite over their center. The Calabi-Yau geometry of these algebras is also discussed.
No associations
LandOfFree
Representation theory of three-dimensional Sklyanin algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Representation theory of three-dimensional Sklyanin algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representation theory of three-dimensional Sklyanin algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-224422