12 citations · 14 across the 3 of their papers we have counts for
6 papers · 1 filter
Frobenii on Morava -theoretical quantum groups
Yaping Yang, Gufang Zhao
In this paper, we study a family of new quantum groups labelled by a prime number and a natural number constructed using the Morava -theories. We define the quantum Frob…
Positive level, negative level and level zero
Finn McGlade, Arun Ram, Yaping Yang
This is a survey on the combinatorics and geometry of integrable representations of quantum affine Lie algebras with a particular focus on level 0. Pictures and examples are includ…
Loop Grassmannians of quivers and affine quantum groups
Ivan Mirkovic, Yaping Yang, Gufang Zhao
We construct for each choice of a quiver , a cohomology theory and a poset a "loop Grassmannian" . This generalizes loop Grassmannians of semisimple…
The PBW theorem for the affine Yangians
Yaping Yang, Gufang Zhao
We prove that the Yangian associated to an untwisted symmetric affine Kac-Moody Lie algebra is isomorphic to the Drinfeld double of a shuffle algebra. The latter is constructed by…
How to sheafify an elliptic quantum group
Yaping Yang, Gufang Zhao
We give an introductory survey of the results in arXiv: 1708.01418. We discuss a sheafified elliptic quantum group associated to any symmetric Kac-Moody Lie algebra. The sheafifica…
Quiver varieties and elliptic quantum groups
Yaping Yang, Gufang Zhao
We define a sheafified elliptic quantum group for any symmetric Kac-Moody Lie algebra. This definition is naturally obtained from the elliptic cohomological Hall algebra of a prepr…