An explicit computation of p -stabilized vectors

Michitaka MIYAUCHI[1]; Takuya YAMAUCHI[2]

  • [1] Faculty of Liberal Arts and Sciences Osaka Prefecture University 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, JAPAN
  • [2] Department of mathematics, Faculty of Education Kagoshima University Korimoto 1-20-6 Kagoshima 890-0065, JAPAN and Department of mathematics University of Toronto Toronto, Ontario M5S 2E4, CANADA

Journal de Théorie des Nombres de Bordeaux (2014)

  • Volume: 26, Issue: 2, page 531-558
  • ISSN: 1246-7405

Abstract

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In this paper, we give a concrete method to compute p -stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over p -adic fields. An application to the global setting is also discussed. In particular, we give an explicit p -stabilized form of a Saito-Kurokawa lift.

How to cite

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MIYAUCHI, Michitaka, and YAMAUCHI, Takuya. "An explicit computation of $p$-stabilized vectors." Journal de Théorie des Nombres de Bordeaux 26.2 (2014): 531-558. <http://eudml.org/doc/275805>.

@article{MIYAUCHI2014,
abstract = {In this paper, we give a concrete method to compute $p$-stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over $p$-adic fields. An application to the global setting is also discussed. In particular, we give an explicit $p$-stabilized form of a Saito-Kurokawa lift.},
affiliation = {Faculty of Liberal Arts and Sciences Osaka Prefecture University 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, JAPAN; Department of mathematics, Faculty of Education Kagoshima University Korimoto 1-20-6 Kagoshima 890-0065, JAPAN and Department of mathematics University of Toronto Toronto, Ontario M5S 2E4, CANADA},
author = {MIYAUCHI, Michitaka, YAMAUCHI, Takuya},
journal = {Journal de Théorie des Nombres de Bordeaux},
language = {eng},
month = {10},
number = {2},
pages = {531-558},
publisher = {Société Arithmétique de Bordeaux},
title = {An explicit computation of $p$-stabilized vectors},
url = {http://eudml.org/doc/275805},
volume = {26},
year = {2014},
}

TY - JOUR
AU - MIYAUCHI, Michitaka
AU - YAMAUCHI, Takuya
TI - An explicit computation of $p$-stabilized vectors
JO - Journal de Théorie des Nombres de Bordeaux
DA - 2014/10//
PB - Société Arithmétique de Bordeaux
VL - 26
IS - 2
SP - 531
EP - 558
AB - In this paper, we give a concrete method to compute $p$-stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over $p$-adic fields. An application to the global setting is also discussed. In particular, we give an explicit $p$-stabilized form of a Saito-Kurokawa lift.
LA - eng
UR - http://eudml.org/doc/275805
ER -

References

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