Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500052 | Linear Algebra and its Applications | 2018 | 22 Pages |
Abstract
The classification of gradings by abelian groups on finite direct sums of simple finite-dimensional nonassociative algebras over an algebraically closed field is reduced, by means of the use of loop algebras, to the corresponding problem for simple algebras. This requires a good definition of (free) products of group-gradings.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alejandra S. Córdova-MartÃnez, Alberto Elduque,