An exotic Springer correspondence for $F_4$

Jonas Antor

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arXiv · 2508.14199

An exotic Springer correspondence for $F_4$

Jonas Antor

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Abstract

We investigate the structure of the `exotic nilcone' of $F_4$ which is defined by exploiting certain characteristic two phenomena. We show that there are finitely many orbits on this nilcone and construct an associated Springer correspondence. Further to that, we show that all corresponding `exotic Springer fibers' admit an affine paving. We also deduce from this a geometric classification of certain simple modules for the affine Hecke algebra with unequal parameters of type $F_4$.

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BibTeX RIS

Jonas Antor. 2025-08-19. An exotic Springer correspondence for $F_4$. https://arxiv.org/abs/2508.14199

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