Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772756 | Journal of Pure and Applied Algebra | 2017 | 17 Pages |
Abstract
If the enveloping central simple algebra of an Okubo algebra comes with a valuation, then we can compute the residue of that Okubo algebra, at least as a vector subspace of the central simple algebra. We give a criterion for the residue of an Okubo algebra without nonzero idempotents to be an Okubo algebra. We also prove that Okubo algebras without nonzero idempotents over a field of characteristic 3 are always the residue of an Okubo algebra over a field of characteristic 0.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mélanie Raczek,