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- W3210366070 abstract "In this paper, we consider the branching law of the Speh representation $mathrm{Sp}(pi,n+l)$ of $mathrm{GL}_{2n+2l}$ with respect to the block diagonal subgroup $mathrm{GL}_ntimesmathrm{GL}_{n+2l}$ for any irreducible generic representation $pi$ of $mathrm{GL}_2$ over any $p$-adic field. We use the Shalika model of $mathrm{Sp}(pi,n)$ to construct certain zeta integrals, which were defined by Ginzburg and Kaplan independently, and study them. Finally, using these zeta integrals, we obtain a nonzero $mathrm{GL}_ntimesmathrm{GL}_{n+2l}$-map from $mathrm{Sp}(pi,n+l)$ to $tauboxtimestau^veechi_pitimesmathrm{Sp}(pi, l)$ for any irreducible representation $tau$ of $mathrm{GL}_n$. These results form part of the local theory of the Miyawaki lifting for unitary groups." @default.
- W3210366070 created "2021-11-08" @default.
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- W3210366070 date "2021-10-26" @default.
- W3210366070 modified "2023-09-23" @default.
- W3210366070 title "On branching laws of Speh representations" @default.
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- W3210366070 doi "https://doi.org/10.48550/arxiv.2110.14145" @default.
- W3210366070 hasPublicationYear "2021" @default.
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