Gradings on semisimple algebras

Autor: Córdova-Martínez, Alejandra S., Elduque, Alberto
Rok vydání: 2018
Předmět:
Zdroj: Linear Algebra Appl. 559 (2018), 145-171
Druh dokumentu: Working Paper
DOI: 10.1016/j.laa.2018.09.002
Popis: 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.
Comment: 21 pages
Databáze: arXiv