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Constructions of algebraic lattices
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2010-01-01)
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 ...
Constructions of algebraic lattices
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2010-01-01)
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 ...
Famílias de reticulados algébricos e reticulados ideais
(Universidade Estadual Paulista (Unesp), 2010-02-26)
Neste trabalho é feito um estudo sobre famílias de reticulados algébricos e reticulados ideais. Nosso principal objetivo é a construção de reticulados que são versões rotacioanadas de reticulados já conhecidos na literatura. ...
Famílias de reticulados algébricos e reticulados ideais
(Universidade Estadual Paulista (UNESP), 2014)
Constructions of algebraic lattices
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2014)
ROTATED A(n)-LATTICE CODES OF FULL DIVERSITY
(Amer Inst Mathematical Sciences-aims, 2020-09-20)
Some important properties of lattices are packing density and full diversity, which may be good for signal transmission over both Gaussian and Rayleigh fading channel, respectively. The algebraic lattices are constructed ...
Reticulados bem arredondados e reticulados semi-estáveis no R²
(Universidade Estadual Paulista (Unesp), 2018-12-17)
O objetivo deste trabalho é apresentar algumas características relacionadas à teoria de reticulados. Restringimos ao estudo dos reticulados obtidos via corpos quadráticos no R². Estudamos, de maneira sucinta, alguns conceitos ...
Algebraic construction of lattices via maximal quaternion orders
(2020-05-01)
In this paper we propose a framework to construct algebraic lattices in dimensions 4n via ideals from maximal orders of a quaternion algebra whose center is a totally real number field. For n=1,2,3,4 and 6 it was possible ...
Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups
(1996-10-31)
In analogy with the Liouville case we study the sl3 Toda theory on the lattice and define the relevant quadratic algebra and out of it we recover the discrete W3 algebra. We define an integrable system with respect to the ...
Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups
(1996-10-31)
In analogy with the Liouville case we study the sl3 Toda theory on the lattice and define the relevant quadratic algebra and out of it we recover the discrete W3 algebra. We define an integrable system with respect to the ...