Journal of Lie Theory

no. 4
Some Upper Bounds on the Dimension of the Higher Multiplier of a Pair of Lie Algebras
Journal of Lie Theory, Volume 29 (2019) no. 4, pp. 997-1005
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.
DOI: 10.5802/jolt.1088
Classification: 17B30, 17B56, 17B99
Keywords: Nilpotent Lie algebras, pair of Lie algebras, c-nilpotent multiplier 
@article{JOLT_2019_29_4_a5,
     author = {M. Molavi and M. R. Rismanchian and M. 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},
     doi = {10.5802/jolt.1088},
     zbl = {1455.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1088/}
}
TY  - JOUR
AU  - M. Molavi
AU  - M. R. Rismanchian
AU  - M. 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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1088/
DO  - 10.5802/jolt.1088
ID  - JOLT_2019_29_4_a5
ER  - 
%0 Journal Article
%A M. Molavi
%A M. R. Rismanchian
%A M. 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 https://jolt.centre-mersenne.org/articles/10.5802/jolt.1088/
%R 10.5802/jolt.1088
%F JOLT_2019_29_4_a5
M. Molavi; M. R. Rismanchian; M. Araskhan. Some Upper Bounds on the Dimension of the Higher Multiplier of a Pair of Lie Algebras. Journal of Lie Theory, Volume 29 (2019) no. 4, pp. 997-1005. doi: 10.5802/jolt.1088

Cited by Sources: