Group Gradings on Free Algebras of Nilpotent Varieties of Algebras

Bahturin, Yuri. "Group Gradings on Free Algebras of Nilpotent Varieties of Algebras." Serdica Mathematical Journal 38.1-3 (2012): 1-6. <http://eudml.org/doc/288263>.

@article{Bahturin2012,
abstract = {2010 Mathematics Subject Classification: Primary 16W50, 17B70; Secondary 16R10.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.The research was supported by an NSERC Discovery Grant #227060-09},
author = {Bahturin, Yuri},
journal = {Serdica Mathematical Journal},
keywords = {Graded Algebra; Nilpotent Lie Algebra; Grading; Lie Algebra},
language = {eng},
number = {1-3},
pages = {1-6},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Group Gradings on Free Algebras of Nilpotent Varieties of Algebras},
url = {http://eudml.org/doc/288263},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Bahturin, Yuri
TI - Group Gradings on Free Algebras of Nilpotent Varieties of Algebras
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 1
EP - 6
AB - 2010 Mathematics Subject Classification: Primary 16W50, 17B70; Secondary 16R10.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.The research was supported by an NSERC Discovery Grant #227060-09
LA - eng
KW - Graded Algebra; Nilpotent Lie Algebra; Grading; Lie Algebra
UR - http://eudml.org/doc/288263
ER -