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
International audienceThe Congruence Lattice Problem asks whether every algebraic distributive latti...
We investigate a connection between two important classes of Euclidean lattices: well-rounded and id...
We investigate a connection between two important classes of Euclidean lattices: well-rounded and id...
In this work we present constructions of algebraic lattices in Euclidean space with optimal center d...
In this work we present constructions of algebraic lattices in Euclidean space with optimal center d...
In this paper we present a method for evaluating the center density of algebraic lattices from subfi...
In this paper we present a method for evaluating the center density of algebraic lattices from subfi...
The aim of this paper is to investigate rotated versions of the densest known lattices in dimensions...
The aim of this paper is to investigate rotated versions of the densest known lattices in dimensions...
The objective of this work is to build example in R2 and R3 with lattices with maximum center densit...
In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as t...
In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as t...
Dado um ideal A do anel dos inteiros algébricos de um corpo de números, tem-se que a imagem deste id...
International audienceThe Congruence Lattice Problem asks whether every algebraic distributive latti...
We propose an algebraic framework to construct dense lattices from maximal orders of a quaternion al...
International audienceThe Congruence Lattice Problem asks whether every algebraic distributive latti...
We investigate a connection between two important classes of Euclidean lattices: well-rounded and id...
We investigate a connection between two important classes of Euclidean lattices: well-rounded and id...
In this work we present constructions of algebraic lattices in Euclidean space with optimal center d...
In this work we present constructions of algebraic lattices in Euclidean space with optimal center d...
In this paper we present a method for evaluating the center density of algebraic lattices from subfi...
In this paper we present a method for evaluating the center density of algebraic lattices from subfi...
The aim of this paper is to investigate rotated versions of the densest known lattices in dimensions...
The aim of this paper is to investigate rotated versions of the densest known lattices in dimensions...
The objective of this work is to build example in R2 and R3 with lattices with maximum center densit...
In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as t...
In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as t...
Dado um ideal A do anel dos inteiros algébricos de um corpo de números, tem-se que a imagem deste id...
International audienceThe Congruence Lattice Problem asks whether every algebraic distributive latti...
We propose an algebraic framework to construct dense lattices from maximal orders of a quaternion al...
International audienceThe Congruence Lattice Problem asks whether every algebraic distributive latti...
We investigate a connection between two important classes of Euclidean lattices: well-rounded and id...
We investigate a connection between two important classes of Euclidean lattices: well-rounded and id...
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