Characterization of Self Dual Lattices in R, R2 and R3 - Applied Mathematics

AM > Vol.5 No.10, June 2014

Characterization of Self Dual Lattices in R, R₂ and R₃ ()

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Download as PDF (Size: 269KB) PP. 1448-1456

DOI: 10.4236/am.2014.510137 4,610 Downloads 5,672 Views

Author(s)

Comlan de Souza, David W. Kammler

Affiliation(s)

Department of Mathematics, California State University at Fresno, Fresno, USA.
Department of Mathematics, Southern Illinois University at Carbondale, Carbondale, USA.

ABSTRACT

This paper shows that the only self dual lattices in R, R², R³ are rotations of Z , Z×Z and Z×Z×Z.

KEYWORDS

Self Dual Lattice

Share and Cite:

Souza, C. and Kammler, D. (2014) Characterization of Self Dual Lattices in R, R₂ and R₃. Applied Mathematics, 5, 1448-1456. doi: 10.4236/am.2014.510137.

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