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Results tagged with non-associative-algebras
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user 12858
Questions about non-associative algebras other than Lie algebras.
12
votes
Applications of Jordan algebras
They turn up quite often in the study of (exceptional) linear algebraic groups. The most famous instance of this is the fact that algebraic groups of type $F_4$ are precisely the automorphism groups o …
- 6,614
6
votes
Accepted
Chirality of octonion algebras
Perhaps this is more a question about the Fano plane than about the (real) octonions. Notice that the automorphism group of the Fano plane is the simple group $\operatorname{GL}(3, \mathbb{F}_2) \cong …
- 6,614