Group Gradings on Free Algebras of Nilpotent Varieties of Algebras
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 1-6
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},
year = {2012},
volume = {38},
number = {1-3},
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/