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math.OA2024
Birkhoff-James classification of finite-dimensional -algebras
Bojan Kuzma, Sushil Singla
We classify real or complex finite-dimensional -algebras and their underlying fields from the properties of Birkhoff-James orthogonality. Application to strong Birkhoff-James…
math.OA2024
Non-linear classification of finite-dimensional simple -algebras
Bojan Kuzma, Sushil Singla
A Banach space characterization of simple real or complex -algebras is given which even characterizes the underlying field. As an application, it is shown that if $\mathfrak A…