Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisting of paramodular vectors   Let $F$ be a non-archimedean local field of characteristic zero, let
$(\pi,V)$ be an irreducible, admissible representation of $\GSp(4,F)$ with
trivial central character, and let $\chi$ be a quadratic character of
$F^\times$ with conductor $c(\chi)>1$. We define a twisting operator $T_\chi$
from paramodular vectors for $\pi$ of level $n$ to paramodular vectors for
$\chi \otimes \pi$ of level $\max(n+2c(\chi),4c(\chi))$, and prove that this
operator has properties analogous to the well-known $\GL(2)$ twisting operator.

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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org