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arXiv:2111.09195 [math.RT]AbstractReferencesReviewsResources

Theta liftings for $(\mathrm{GL}_n,\mathrm{GL}_n)$ type dual pairs of loop groups

Yanze Chen, Yongchang Zhu

Published 2021-11-17, updated 2023-04-29Version 3

In this article we prove the theta liftings of a cusp form on the loop group $\mathrm{GL}_n$ induced from a classical cusp form for the loop group ``dual pair'' $(\mathrm{GL}_n,\mathrm{GL}_n)$ is an Eisenstein series.

Comments: 26 pages, with more complete proofs
Categories: math.RT, math.NT
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