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The Taussky-Kruskemper method for construction of root lattices

Agnaldo José Ferrari

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Published: Sep 6, 2026

DOI: 10.13069/jacodesmath.v13i3.284

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Source abstract

In this paper, we present a method to construct the root lattices based on the Taussky-Kruskemper method which computes the generator matrix of an integral lattice, given its Gram matrix. This yields an algebraic lattice, in the sense that the lattice is built via the embedding of a number field. Received: 15 March 2023 | Accepted: 01 March 2026

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The Taussky-Kruskemper method for construction of root lattices — Mathematical Frontier Network