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math.DG2024
The geometry of sedenion zero divisors
Silvio Reggiani
The sedenion algebra is a non-commutative, non-associative, -dimensional real algebra with zero divisors. It is obtained from the octonions through the Cayley-Dicks…
math.DG2024
The moduli space of left-invariant metrics on six-dimensional characteristically solvable nilmanifolds
Isolda Cardoso, Ana Cosgaya, Silvio Reggiani
A real Lie algebra is said to be characteristically solvable if its derivation algebra is solvable. We explicitly determine the moduli space of left-invariant metrics, up to isomet…