Year: 2024
Type: article
Abstract: Let n ≥ 3 be an integer, ζn a primitive nth root of unity, and K the cyclotomic field Q(ζn). In this paper, we present an explicit description of the integral trace form TrK(αxx), where α, x ∈ K and x is the complex conjugate of x. Furthermore, we present constructions of algebraic lattices via the twisted canonical homomorphism with optimal center density in dimensions 2, 4, 6, 8 and 12, which are rotated versions of the lattices Λn, for n = 2, 4, 6, 8 and K12.
Source: Ciência e Natura
Institution: Universidade Estadual Paulista (Unesp)
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408046621