A Geometric Realization of Symmetric Pairs of Type AIII

preprint2022arXivOpen access

Abstract

In this paper, we construct a geometric realization of symmetric pair of type AIII over σσ-quiver varieties as an analogy of the construction over Nakajima quiver varieties. To achieve this, we define the action of generators by pull back and push forward through ιιHecke correspondences and check the relations.

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