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arXiv · 2012.11718

The inverse Galois problem for Cherednik algebras

Akaki Tikaradze
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Abstract

Given the spherical subalgebra $B$ of a rational Cherednik algebra, we aim to classify all finite groups $\Gamma$ for which there exists a domain $R$ on which $\Gamma$ acts by ring automorphisms, such that $B=R^{\Gamma}.$ We describe such groups in terms of geometry of the center of the reduction of $B$ modulo a large prime.

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BibTeXRIS

Akaki Tikaradze. 2020-12-21. The inverse Galois problem for Cherednik algebras. https://arxiv.org/abs/2012.11718

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