Invariant submodules of unimodular Hermitian forms

Donald Gordon James

Vol. 72 (1977), No. 2, 471–482

DOI: 10.2140/pjm.1977.72.471

Abstract

Let M be a unimodular lattice on an indefinite hermitian space over an algebraic number field. The submodules of M invariant under the action of the special unitary group of M are classified. Generators for the local unitary groups of M are also determined.

Mathematical Subject Classification

Primary: 10C30, 10C30

Secondary: 10C05

Milestones

Received: 21 December 1976

Revised: 29 April 1977

Published: 1 October 1977