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
- Voight, John (2021), Quaternion Algebras, Graduate Texts in Mathematics, vol. 288, Springer Nature, doi:10.1007/978-3-030-56694-4, ISBN 978-3-030-56692-0
- 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
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