4 papers
math.QA2025
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…
math.RT2025
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…
math.QA2024
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…
math.QA2024
Yangian for cotangent Lie algebras and spectral -matrices
Raschid Abedin, Wenjun Niu
In this paper, we present a canonical quantization of Lie bialgebra structures on the formal power series with coefficients in the cotangent Lie algebra $\m…