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• W1982958831 abstract "Let $F$ be a $p$-adic field of characteristic 0, and let $M$ be an $F$-Levi subgroup of a connected reductive $F$-split group such that $Pi_{i=1}^{r} SL_{n_i} subseteq M subseteq Pi_{i=1}^{r} GL_{n_i}$ for positive integers $r$ and $n_i$. We prove that the Plancherel measure for any unitary supercuspidal representation of $M(F)$ is identically transferred under textit{the local Jacquet-Langlands type correspondence} between $M$ and its $F$-inner forms, assuming a working hypothesis that Plancherel measures are invariant on a certain set. This work extends the result of Mui{'c} and Savin (2000) for Siegel Levi subgroups of the groups $SO_{4n}$ and $Sp_{4n}$ under the local Jacquet-Langlands correspondence. It can be applied to a simply connected simple $F$-group of type $E_6$ or $E_7$, and a connected reductive $F$-group of type $A_{n}$, $B_{n}$, $C_n$ or $D_n$." @default.
• W1982958831 created "2016-06-24" @default.
• W1982958831 creator A5079210763 @default.
• W1982958831 date "2013-08-25" @default.
• W1982958831 modified "2023-09-27" @default.
• W1982958831 title "Transfer of Plancherel Measures for Unitary Supercuspidal Representations between p-adic Inner Forms" @default.
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• W1982958831 hasPublicationYear "2013" @default.
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