منابع مشابه
Integral Lattices in Tqft
We find explicit bases for naturally defined lattices over a ring of algebraic integers in the SO(3)-TQFT-modules of surfaces at roots of unity of odd prime order. Some applications relating quantum invariants to classical 3-manifold topology are given.
متن کاملComplex and Integral Laminated Lattices
In an earlier paper we studied real laminated lattices (or Z-modules) A„, where A, is the lattice of even integers, and A„ is obtained by stacking layers of a suitable (n — l)-dimensional lattice A„_, as densely as possible, keeping the same minimal norm. The present paper considers two generalizations: (a) complex and quaternionic lattices, obtained by replacing Z-module by /-module, where J m...
متن کاملWell - Rounded Integral Lattices in Dimension Two
A lattice is called well-rounded if its minimal vectors span the corresponding Eucildean space. In this paper we completely describe well-rounded full-rank sublattices of Z 2 , as well as their determinant and minima sets. We show that the determinant set has positive density, deriving an explicit lower bound for it, while the minima set has density 0. We also produce formulas for the number of...
متن کاملConstructing Integral Lattices With Prescribed Minimum
Methods for computing integral laminated lattices with prescribed minimum are developed. Laminating is a process of stacking layers of an (n l)-dimensional lattice as densely as possible to obtain an «-dimensional lattice. Our side conditions are: All scalar products of lattice vectors are rational integers, and all lattices are generated by vectors of prescribed minimum (square) length m. For ...
متن کاملOn Integral Lattices Having an Odd Minimum
We study the kissing number of integral lattices of odd minimum, with special emphasis on the case of minimum 3.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1996
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0155