The PGSp1,1(A)-distinguished representations
In this paper, we use the regularized quaternionic Siegel–Weil formula to deal with the PGSp 1 , 1 ( A ) -period problem for a cuspidal representation τ of PGSp 4 ( A E ) , where E / F is a quadratic extension of number fields and E is contained in the 4-dimensional quaternion division algebra D of...
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| Veröffentlicht in: | Mathematische Zeitschrift 2021, Vol.298 (1-2), p.497-519 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we use the regularized quaternionic Siegel–Weil formula to deal with the
PGSp
1
,
1
(
A
)
-period problem for a cuspidal representation
τ
of
PGSp
4
(
A
E
)
, where
E
/
F
is a quadratic extension of number fields and
E
is contained in the 4-dimensional quaternion division algebra
D
of
F
with
s
D
=
2
. |
|---|---|
| ISSN: | 0025-5874 1432-1823 |
| DOI: | 10.1007/s00209-020-02607-4 |