Rings of Integers in Number Fields and Root Lattices
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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