An overview on real division algebras

Authors

  • Gabriel Longatto Clemente Universidade Federal de São Carlos - UFSCar

Keywords:

Real algebras, topological K-theory

Abstract

In this paper, we expose initial concepts of real division algebras, providing historical notes
on $\R$, $\C$, $\Ham$ and $\Oct$. This is done to emphasize the relevance of topological K-theory
through the Bott-Milnor-Kervaire Theorem, which is at the end. For completeness, we also present
two classical results about the main division algebras.

References

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Published

09/12/2023

How to Cite

[1]
Longatto Clemente, G. 2023. An overview on real division algebras. Latin American Journal of Mathematics. 2, 02 (Sep. 2023), 43–67.

Issue

Vol. 2 No. 02 (2023): Proceedings: I Encontro Paulista da Pós-Graduação em Matemáticas (Continuous publishing)

Section

Articles

License

Copyright (c) 2023 Gabriel Longatto Clemente

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This work is licensed under a Creative Commons Attribution 4.0 International License.

 

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