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math.RT2018
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…
math.RT2018
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…
math.RT2018
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…