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

    • 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
    This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.