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- W4384268274 abstract "We relate the field of definition of representations $sigma$ of the group of units $D^times$ of a non-archimedean division algebra $D/F$ to that of its L-parameter $varphi_sigmacolon W_Fto mathrm{GL}_n(mathbb C)$, extending results of [Prasad-Ramakrishnan]. The field of definitions are controlled by division algebras $mathcal D_{sigma}$ and $mathcal D_{varphi_sigma}$ over the field of rationality $mathbb Q(pi)$, and we completely pin down the relationship between the Hasse invariants at places not over $p$. Under some additional assumptions we can also specify the Hasse invariants at places over $p$." @default.
- W4384268274 created "2023-07-14" @default.
- W4384268274 creator A5076873950 @default.
- W4384268274 date "2023-07-12" @default.
- W4384268274 modified "2023-10-17" @default.
- W4384268274 title "Rationality of the Local Jacquet-Langlands Correspondence for GL(n)" @default.
- W4384268274 doi "https://doi.org/10.48550/arxiv.2307.06039" @default.
- W4384268274 hasPublicationYear "2023" @default.
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