Jump to content

Eichler order

From Wikipedia, the free encyclopedia

This is the current revision of this page, as edited by David Eppstein (talk | contribs) at 06:56, 28 June 2019 (Pilar Bayer). The present address (URL) is a permanent link to this version.

(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

In mathematics, an Eichler order, named after Martin Eichler, is an order of a quaternion algebra that is the intersection of two maximal orders.

References

[edit]
  • Alsina, Montserrat; Bayer, Pilar (2004), Quaternion orders, quadratic forms, and Shimura curves, CRM Monograph Series, vol. 22, Providence, RI: American Mathematical Society, ISBN 0-8218-3359-6, Zbl 1073.11040
  • Eichler, Martin (1955), "Zur Zahlentheorie der Quaternionen-Algebren", Journal für die reine und angewandte Mathematik, 195: 127–151, doi:10.1515/crll.1955.195.127, ISSN 0075-4102, MR 0080767
  • Pizer, Arnold K. (1973), "Type numbers of Eichler orders", Journal für die reine und angewandte Mathematik, 264: 76–102, ISSN 0075-4102, MR 0337881