Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416164 | Linear Algebra and its Applications | 2016 | 19 Pages |
Abstract
We classify, up to isomorphism and up to equivalence, division gradings (by abelian groups) on finite-dimensional simple real algebras. Gradings on finite-dimensional simple algebras are determined by division gradings, so our results give the classification, up to isomorphism, of (not necessarily division) gradings on such algebras.Linear algebra over the field of two elements plays an interesting role in the proofs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Adrián Rodrigo-Escudero,