On Witt’s theorem for unimodular quadratic forms

Donald Gordon James

Vol. 26 (1968), No. 2, 303–316

DOI: 10.2140/pjm.1968.26.303

Abstract

In this paper we give an integral generalization of Witt’s theorem for quadratic forms. If J and K are sublattices of a unimodular lattice L, we investigate conditions under which an isometry from J to K will extend to an isometry of L.

Mathematical Subject Classification

Primary: 10.16

Milestones

Received: 23 August 1967

Published: 1 August 1968