TY - JOUR
AB - We relate proper isometry classes of maximal lattices in a totally definite quaternary quadratic space (V,q) with trivial discriminant to certain equivalence classes of ideals in the quaternion algebra representing the Clifford invariant of (V,q). This yields a good algorithm to enumerate a system of representatives of proper isometry classes of lattices in genera of maximal lattices in (V,q).
AU - Kirschmer, Markus
AU - Nebe, Gabriele
ID - 34917
IS - 02
JF - International Journal of Number Theory
KW - Algebra and Number Theory
SN - 1793-0421
TI - Quaternary quadratic lattices over number fields
VL - 15
ER -