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arXiv · 1506.04703

Dimensions of Affine Springer Fibers for Some $\mathrm{GL}_n$ Symmetric Spaces

Jason K. C. Polák
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Abstract

We determine a formula for the dimension of a family of affine Springer fibers associated to a symmetric space arising from the block diagonal embedding $\mathrm{GL}_n\times\mathrm{GL}_n\hookrightarrow\mathrm{GL}_{2n}$ . As an application, we determine the dimension of affine Springer fibers attached to certain unitary symmetric spaces.

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Jason K. C. Polák. 2015-06-15. Dimensions of Affine Springer Fibers for Some $\mathrm{GL}_n$ Symmetric Spaces. https://arxiv.org/abs/1506.04703

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