Abstract
We study the connection between the affine degenerate Grassmannians in type , quiver Grassmannians for one vertex loop quivers, and affine Schubert varieties. We give an explicit description of the degenerate affine Grassmannian of type and identify it with semi-infinite orbit closure of type . We show that principal quiver Grassmannians for the one vertex loop quiver provide finite-dimensional appro- ximations of the degenerate affine Grassmannian. Finally, we give an explicit description of the degenerate affine Grassmannian of type , propose a conjectural description in the symplectic case, and discuss the generalization to the case of the affine degenerate flag varieties.
Citation
Evgeny Feigin. Michael Finkelberg. Markus Reineke. "Degenerate affine Grassmannians and loop quivers." Kyoto J. Math. 57 (2) 445 - 474, June 2017. https://doi.org/10.1215/21562261-3821864
Information