8 citations · 8 across the 1 of their papers we have counts for
5 papers
Double Yangian, Factorization, and qKZ-equation for Cotangent Lie Algebras
Raschid Abedin, Wenjun Niu
In this paper, we construct the dual and double of the Yangian associated with a cotangent Lie algebra $\m…
Hecke modifications of conformal blocks outside the critical level
Raschid Abedin, Giovanni Felder, Robert Windesheim
We define Hecke modifications of conformal blocks over affine Lie algebras at non-critical level by using the Hecke modifications of the underlying -bundles. We show that this p…
Quantum groupoids from moduli spaces of -bundles
Raschid Abedin, Wenjun Niu
In a previous work, we have constructed the Yangian of the cotangent Lie algebra for a simple Lie algebra , fr…
Classification of classical twists of the standard Lie bialgebra structure on a loop algebra
Raschid Abedin, Stepan Maximov
The standard Lie bialgebra structure on an affine Kac-Moody algebra induces a Lie bialgebra structure on the underlying loop algebra and its parabolic subalgebras. In this paper we…
Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation
Raschid Abedin, Igor Burban
This paper is devoted to algebro-geometric study of infinite dimensional Lie bialgebras, which arise from solutions of the classical Yang-Baxter equation. We regard trigonometric s…