Geodesic
Some Notes on the Schur Multiplier of a Pair of Lie Algebras
Journal of Lie theory, Tome 23 (2013) no. 2, pp. 483-492 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We review some properties of the non-abelian exterior product and using them provide special properties of the Schur multiplier of a pair of Lie algebras. By constructing a cover for a pair of Lie algebras, we give a necessary and sufficient condition for the capability of a pair of Lie algebras. Also, for a perfect pair of Lie algebras we construct a cover which is a universal extension. Finally, we give some bounds for the dimension of the Schur multiplier of a pair of Lie algebras.
Classification : 17B30, 17B60, 17B99
Mots-clés : Schur multiplier of a pair of Lie algebras, nonabelian exterior product, cover, capability 
@article{JLT_2013_23_2_JLT_2013_23_2_a6,
     author = {B. Edalatzadeh },
     title = {Some {Notes} on the {Schur} {Multiplier} of a {Pair} of {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {483--492},
     year = {2013},
     volume = {23},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a6/}
}
TY  - JOUR
AU  - B. Edalatzadeh 
TI  - Some Notes on the Schur Multiplier of a Pair of Lie Algebras
JO  - Journal of Lie theory
PY  - 2013
SP  - 483
EP  - 492
VL  - 23
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a6/
ID  - JLT_2013_23_2_JLT_2013_23_2_a6
ER  - 
%0 Journal Article
%A B. Edalatzadeh 
%T Some Notes on the Schur Multiplier of a Pair of Lie Algebras
%J Journal of Lie theory
%D 2013
%P 483-492
%V 23
%N 2
%U http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a6/
%F JLT_2013_23_2_JLT_2013_23_2_a6
B. Edalatzadeh . Some Notes on the Schur Multiplier of a Pair of Lie Algebras. Journal of Lie theory, Tome 23 (2013) no. 2, pp. 483-492. http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a6/