Date of Award
5-1-2015
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Earnest, Andrew
Second Advisor
Pericak-Spector, Kathleen
Abstract
For definite quadratic lattices over the rings of integers of algebraic number fields, it is shown that lattices are determined up to isometry by their local structure and sublattices of codimension 1. In particular, a theorem of Yoshiyuki Kitaoka for $\mathbb{Z}$-lattices is generalized to definite lattices over algebraic number fields.
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