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math.RA2026
Non-crystallographic systems of integers over composition algebras
Daniele Corradetti
In this work we revisit classical systems of integers inside the real normed division algebras from the point of view of finite norm shells and root systems. Building on the icosia…
math.RA2026
Integral elements of Okubo algebra and the E8-lattice
Daniele Corradetti
In this work we study the interplay between the Coxeter-Dickson -order, the para-octonions, and the real Okubo algebra. We first explain why a usual rotation presentation of…