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Characterization of Self Dual Lattices in R, R<sub>2</sub> and R<sub>3</sub>
Department of Mathematics, California State University at Fresno, Fresno, USA
Department of Mathematics, Southern Illinois University at Carbondale, Carbondale, USA
- 1 Department of Mathematics, California State University at Fresno, Fresno, USA
- 2 Department of Mathematics, Southern Illinois University at Carbondale, Carbondale, USA
Applied Mathematics·Volume 05 (2014)·Pages 1448–1456·Published 22 May 2014·DOI10.4236/am.2014.510137
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Abstract
This paper shows that the only self dual lattices in R, R 2 , R 3 are rotations of Z , Z×Z and Z×Z×Z .
KeywordsSelf Dual Lattice
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