Sur quelques propriétés des algèbres de Hecke quaternioniques

Lea Terracini

Bollettino dell'Unione Matematica Italiana (2002)

  • Volume: 5-B, Issue: 3, page 677-700
  • ISSN: 0392-4041

Abstract

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Let B be an indefinite quaternion algebra over Q , of discriminant divisible by a prime p . We introduce the space of quaternionic automorphic forms of level p s and the algebra of Heche operators acting on it. By making use of the Jacquet-Langlands correspondence we show that this algebra is a quotient of a classical Hecke algebra (without the T p operator). We deduce that the quaternionic Hecke algebra is free of finite rank over Z and that it is compatible with base change.

How to cite

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Terracini, Lea. "Sur quelques propriétés des algèbres de Hecke quaternioniques." Bollettino dell'Unione Matematica Italiana 5-B.3 (2002): 677-700. <http://eudml.org/doc/195436>.

@article{Terracini2002,
author = {Terracini, Lea},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {fre},
month = {10},
number = {3},
pages = {677-700},
publisher = {Unione Matematica Italiana},
title = {Sur quelques propriétés des algèbres de Hecke quaternioniques},
url = {http://eudml.org/doc/195436},
volume = {5-B},
year = {2002},
}

TY - JOUR
AU - Terracini, Lea
TI - Sur quelques propriétés des algèbres de Hecke quaternioniques
JO - Bollettino dell'Unione Matematica Italiana
DA - 2002/10//
PB - Unione Matematica Italiana
VL - 5-B
IS - 3
SP - 677
EP - 700
LA - fre
UR - http://eudml.org/doc/195436
ER -

References

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