Constructions of algebraic lattices


Autoria(s): Andrade, A. A.; Ferrari, A. J.; Benedito, C. W. O.; Costa, S. I. R.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/01/2010

Resumo

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.

Formato

493-505

Identificador

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

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

Idioma(s)

eng

Publicador

Sociedade Brasileira de Matemática Aplicada e Computacional

Relação

Computational & Applied Mathematics

Direitos

openAccess

Palavras-Chave #algebraic lattice #algebraic number field #Center density #twisted canonical homomorphism
Tipo

info:eu-repo/semantics/article