Rings of Integers in Number Fields and Root Lattices
Sign Up to like & getrecommendations! Published in 2020 at "Doklady Mathematics"
DOI: 10.1134/s1064562420030151
Abstract: This paper investigates whether a root lattice can be similar to the lattice $$\mathcal{O}$$ of all integer elements of a number field K endowed with the inner product $$(x,y)$$ := $${\text{Trac}}{{{\text{e}}}_{{K{\text{/}}\mathbb{Q}}}}(x \cdot \theta (y))$$ ,… read more here.
Keywords: lattice mathcal; rings integers; number; mathcal similar ... See more keywords
Connecting (Anti)Symmetric Trigonometric Transforms to Dual-Root Lattice Fourier-Weyl Transforms
Sign Up to like & getrecommendations! Published in 2021 at "Symmetry"
DOI: 10.3390/sym13010061
Abstract: Explicit links of the multivariate discrete (anti)symmetric cosine and sine transforms with the generalized dual-root lattice Fourier–Weyl transforms are constructed. Exact identities between the (anti)symmetric trigonometric functions and Weyl orbit functions of the crystallographic root… read more here.
Keywords: lattice fourier; anti symmetric; symmetric trigonometric; root ... See more keywords