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arXiv · 2202.05058

A Geometric Realization of Symmetric Pairs of Type AIII

Rui Xiong
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Abstract

In this paper, we construct a geometric realization of symmetric pair of type AIII over $\sigma$-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 $\iota$Hecke correspondences and check the relations.

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Rui Xiong. 2022-02-10. A Geometric Realization of Symmetric Pairs of Type AIII. https://arxiv.org/abs/2202.05058

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