1. Gelfand-Tsetlin varieties for Yangians
- Author
-
Monsalve, Germán Benitez
- Subjects
Mathematics - Representation Theory ,Mathematics - Algebraic Geometry - Abstract
S. Ovsienko proved that the Gelfand-Tsetlin variety for $\mathfrak{gl}_n$ is equidimensional (i.e., all its irreducible components have the same dimension) of dimension $\frac{n(n-1)}{2}$. This result is known as Ovsienko's Theorem and it has important consequences in Representation Theory of Algebras. In this paper, we will study the Gelfand-Tsetlin varieties for restricted Yangian $Y_p(\mathfrak{gl}_n)$ and the equidimensionality for $Y_p(\mathfrak{gl}_3)$., Comment: 40 pages. arXiv admin note: text overlap with arXiv:1802.07248
- Published
- 2018