RT Journal Article
T1 Gradings on semisimple algebras
A1 Córdova Martínez, Alejandra Sarina
A1 Elduque Palomo, Alberto
K1 Lie, Algebras de
K1 Álgebra abstracta
AB In this article the classification of gradings by abelian groups on finite direct sums of simple finite-dimensional nonassociative algebras over an algebraically closed field is studied. The problem is reduced to the corresponding classification for simple algebras through the use of loop algebras and suitable definitions of product gradings. Conditions under which semisimple graded algebras can be decomposed into graded-simple components are established, and fine group gradings on semisimple algebras are described and classified up to equivalence.
PB Elsevier
SN 0024-3795
YR 2018
FD 2018
LK https://hdl.handle.net/10630/46319
UL https://hdl.handle.net/10630/46319
LA eng
NO Linear álgebra and its applications, vol. 559, 2018, 145-171
NO https://openpolicyfinder.jisc.ac.uk/publication/16712?from=single_hit
NO Agencia Estatal de Investigación
NO Fondo Europeo de Desarrollo Regional
NO Gobierno de Aragón
NO Consejo Nacional de Ciencia y Tecnología (México)
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 4 may 2026