AM  Vol.5 No.10 , June 2014
Characterization of Self Dual Lattices in R, R2 and R3
ABSTRACT

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



Cite this paper
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.
References
[1]   Kannan, R. (1987) Minkowski’s Convex Body Theorem and Integer Programming. Mathematics of Operations Research, 12, 415-440.

[2]   Strang, G. (1976) Linear Algebra and Its Applications. Academic Press, Inc., New York.

[3]   Senechal, M. (1995) Quasicrystals and Geometry. Cambridge University Press, New York.

[4]   Conway, J.H., Odlyzko, A.M. and Sloane, N.J.A. (1978) Extremal Self-Dual Lattices Exit Only in Dimensions 1 to 8, 12, 14, 15, 23, and 24.

 
 
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