Geodesic
Some Upper Bounds on the Dimension of the Higher Multiplier of a Pair of Lie Algebras
Mousa Molavi1 ; Mohammad Reza Rismanchian1 ; Mehdi Araskhan1
1Department of Pure Mathematics, Shahrekord University, Shahrekord, Iran
Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 997-1005

Voir la notice de l'article provenant de la source Heldermann Verlag

We investigate the concept of higher Schur multiplier of a pair of Lie algebras and discuss relevant exact sequences. We will also derive some inequalities between the dimensions of higher Schur multipliers and pairs of their special factor in case of nilpotent Lie algebras. Furthermore, we show new upper bounds for the dimensions.
Classification : 17B30, 17B56, 17B99
Mots-clés : Nilpotent Lie algebras, pair of Lie algebras, c-nilpotent multiplier

Mousa Molavi  1   ; Mohammad Reza Rismanchian  1   ; Mehdi Araskhan  1

1 Department of Pure Mathematics, Shahrekord University, Shahrekord, Iran 
Mousa Molavi; Mohammad Reza Rismanchian; Mehdi Araskhan. Some Upper Bounds on the Dimension of the Higher Multiplier of a Pair of Lie Algebras. Journal of Lie Theory, Tome 29 (2019) no. 4, pp. 997-1005. http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a5/
@article{JOLT_2019_29_4_a5,
     author = {Mousa Molavi and Mohammad Reza Rismanchian and Mehdi Araskhan},
     title = {Some {Upper} {Bounds} on the {Dimension} of the {Higher} {Multiplier} of a {Pair} of {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {997--1005},
     year = {2019},
     volume = {29},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a5/}
}
TY  - JOUR
AU  - Mousa Molavi
AU  - Mohammad Reza Rismanchian
AU  - Mehdi Araskhan
TI  - Some Upper Bounds on the Dimension of the Higher Multiplier of a Pair of Lie Algebras
JO  - Journal of Lie Theory
PY  - 2019
SP  - 997
EP  - 1005
VL  - 29
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a5/
ID  - JOLT_2019_29_4_a5
ER  - 
%0 Journal Article
%A Mousa Molavi
%A Mohammad Reza Rismanchian
%A Mehdi Araskhan
%T Some Upper Bounds on the Dimension of the Higher Multiplier of a Pair of Lie Algebras
%J Journal of Lie Theory
%D 2019
%P 997-1005
%V 29
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2019_29_4_a5/
%F JOLT_2019_29_4_a5