Group Gradings on Free Algebras of Nilpotent Varieties of Algebras
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 1-6
Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library
The main result is the classification, up to isomorphism, of all gradings by arbitrary abelian groups on the finitely generated algebras that are free in a nilpotent variety of algebras over an algebraically closed field of characteristic zero.
Keywords:
Graded Algebra, Nilpotent Lie Algebra, Grading, Lie Algebra
@article{SMJ2_2012_38_1-3_a0,
author = {Bahturin, Yuri},
title = {Group {Gradings} on {Free} {Algebras} of {Nilpotent} {Varieties} of {Algebras}},
journal = {Serdica Mathematical Journal},
pages = {1--6},
publisher = {mathdoc},
volume = {38},
number = {1-3},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a0/}
}
Bahturin, Yuri. Group Gradings on Free Algebras of Nilpotent Varieties of Algebras. Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 1-6. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a0/