Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE TWO SIDED IDEALS OF ORDERS IN A QUATERNION ALGEBRA

  • JUN, SUNG TAE (Division of Mathematics and Computer sicience Konkuk University) ;
  • KIM, IN SUK (Division of Mathematics and Informational Statistics Wonkwang University)
  • Received : 2003.05.24
  • Published : 2004.12.25
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Abstract

The orders in quaternion algebras play central role in the theory of Hecke operators. In this paper, we study the order of two sided ideal group in orders of a quaternion algebra.

Keywords

Acknowledgement

Supported by : Wonkwang University

References

  1. Jber. DEutsch. Math. Verein. v.54 Die An zahl der Typen von Maximalordnungen einer definitn Quaternionalgebra mit primer Grundzahl Deuring, M.
  2. J. reine angew. Math. v.174 Untersuchungen in der Zahlentheorie der rationalen Quaternionenalgebraen Eichler, M.
  3. J. Math. Soc. Japan v.26 Explicit formula of the traces of the Hecke operators for ${\Gamma}_0$(N) Hijikata, H.
  4. Math. ann. v.185 Hecke operators on ${\Gamma}_0$(N) Atkin, A.;Lehner Hecke, J.
  5. J. Reine angew Math. v.394 Orders in Quaternion Algebras Hijikata, H.;Pizer, A.;Shemanske, T.
  6. J. of KMS v.4 On the certain primitive orders Jun, S.
  7. The Mass formula of orders over a dyadic local field Jun, S.
  8. J. Math. Soc. Japan v.28 On the arithmetic of Quaternion algebras II Pizer, A.
  9. Math. Ann. v.226 The action of the Canonical involution on Modular forms of weigh 2 on ${\Gamma}_0$(N) Pizer, A.
  10. J. Algebra v.64 An Algorithm for computing modular forms on ${\Gamma}_0$(N) Pizer, A.
  11. Maximal orders Reiner, I.
  12. Basic number theory Weil, A.