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Parahoric Restriction for GSp(4)

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Abstract

Parahoric restriction is the parahoric analogue of Jacquet’s functor. The group GSp(4, F) of symplectic similitudes of genus two over a local number field F/ℚ p has five conjugacy classes of parahoric subgroups. For each we determine the parahoric restriction of the non-cuspidal irreducible smooth representations of GSp(4, F) in terms of explicit character values.

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Acknowledgements

The author wants to express his gratitude to R. Weissauer and U. Weselmann for valuable discussions. This work was partially supported by DFG research group 1920 “Symmetrie, Geometrie und Arithmetik”.

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  1. Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 205, 69120, Heidelberg, Germany

    Mirko Rösner

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  1. Mirko Rösner
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Correspondence to Mirko Rösner.

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Presented by Jon F. Carlson.

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Rösner, M. Parahoric Restriction for GSp(4). Algebr Represent Theor 21, 145–161 (2018). https://doi.org/10.1007/s10468-017-9707-y

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