Geodesic
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
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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 
@article{JLT_2019_29_4_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a5/}
}
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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, Tome 29 (2019) no. 4, pp. 997-1005. http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a5/