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arXiv · 2007.14501

Affine Springer Fibers and the Affine Matrix Ball Construction for Rectangular Type Nilpotents

Pablo Boixeda Alvarez·Li Ying·Guangyi Yue
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Abstract

In this paper, we study the affine Springer fiber $\mathcal{F} l_N$ in type $A$ for rectangular type semisimple nil-element $N$ and calculate the relative position between irreducible components. In particular, we use the affine matrix ball construction to show the relative position map is compatible with the Kazhdan-Lusztig cell structure, generalizing the work of Steinberg and van Leeuwen.

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Pablo Boixeda Alvarez, Li Ying, Guangyi Yue. 2020-08-19. Affine Springer Fibers and the Affine Matrix Ball Construction for Rectangular Type Nilpotents. https://arxiv.org/abs/2007.14501

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