Universidad Complutense de Madrid
E-Prints Complutense

Rotations and units in quaternion algebras



Downloads per month over past year

Corrales Rodrigáñez, Carmen (2012) Rotations and units in quaternion algebras. Journal of Number Theory, 132 (5). pp. 888-895. ISSN ISSN 1096-1658

[img] PDF
Restringido a Repository staff only


Official URL: http://www.sciencedirect.com/science/article/pii/S0022314X12000078



Unit groups of orders in quaternion algebras over number fields provide important examples of non-commutative arithmetic groups. Let K = Q(d ) be a quadratic field with d < 0 a squarefree integer such that d ≡ 1(mod 8), and let R be its ring of integers. In this note we study, through its representation in SO3(R), the group of units of several orders in the quaternion algebra over K with basis {1, i, j,k} satisfying the relations i2 =j2 =−1, i j =−ji =k.

Item Type:Article
Uncontrolled Keywords:Quaternion algebras; Quadratic fields; Special orthogonal group of the space of pure quaternions in a quaternion algebra over a quadratic field
Subjects:Sciences > Mathematics > Number theory
ID Code:20272
Deposited On:06 Mar 2013 14:39
Last Modified:04 Apr 2016 10:07

Origin of downloads

Repository Staff Only: item control page