May 3, 2024Open Access

Frobenius' Theorem on Division Algebras

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Resumen

Frobenius' Theorem states that the only finite-dimensional real division algebras are the algebra of real numbers R, the algebra of complex numbers C, and the algebra of quaternions H. We present a short proof which uses only standard undergraduate mathematics.

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Matej Brešar (Fri,) studied this question.

synapsesocial.com/papers/68e6bbccb6db64358763c3d3 https://doi.org/https://doi.org/10.48550/arxiv.2405.01876

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4Real Division Algebras with Left Unit Satisfying Some Identities.2024
5On the hypercomplex numbers and normed division algebra of all dimensions: A unified multiplication2024 · 1 citations

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