Constructions of algebraic lattices

Andrade, A. A.; Ferrari, A. J.; Benedito, C. W. O.; Costa, S. I. R.

Otro

Registro en:

Computational & Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional, v. 29, n. 3, p. 493-505, 2010.

1807-0302

http://hdl.handle.net/11449/22173

10.1590/S1807-03022010000300010

S1807-03022010000300010

WOS:000287545100010

S1807-03022010000300010.pdf

http://dx.doi.org/10.1590/S1807-03022010000300010

http://repositorioslatinoamericanos.uchile.cl/handle/2250/867631

Autor

Andrade, A. A.

Ferrari, A. J.

Benedito, C. W. O.

Costa, S. I. R.

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,6,8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via ideals of a ring of algebraic integers. Mathematical subject classification: 18B35, 94A15, 20H10.

Materias

algebraic lattice

algebraic number field

Center density

twisted canonical homomorphism

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