Eichler order

From HandWiki

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, 22, Providence, RI: American Mathematical Society, ISBN 0-8218-3359-6 
  • 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 
  • Pizer, Arnold K. (1973), "Type numbers of Eichler orders", Journal für die reine und angewandte Mathematik 264: 76–102, ISSN 0075-4102