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arXiv · 2606.11920

A Hecke algebra isomorphism over close local fields for metaplectic groups

Ritabrata Das
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Abstract

We establish the Kazhdan isomorphism for the $n$-fold metaplectic cover of the reductive group $\mathrm{SL}_2$ over two sufficiently close non-archimedean local fields $F$ and $F'$, both of which have residue characteristic coprime to $n$ and contain all distinct $n$th roots of unity.

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Ritabrata Das. 2026-06-10. A Hecke algebra isomorphism over close local fields for metaplectic groups. https://arxiv.org/abs/2606.11920

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