Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie algebras

Mehdi Araskhan,Mohammad Reza Rismanchian

doi:10.1016/j.jalgebra.2011.11.001

Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie algebras

Mehdi Araskhan, Mohammad Reza Rismanchian

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https://doi.org/10.1016/j.jalgebra.2011.11.001

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Journal: Journal of Algebra	Publication Date: Nov 21, 2011
Citations: 10	License type: elsevier-specific: oa user license

Affiliation: Islamic Azad University, Yazd, Shahrekord University

#Finite Dimensional Nilpotent Lie Algebras #Pair Of Algebras + Show 8 more

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Abstract

The purpose of this paper is to obtain some inequalities for the dimension of the Schur multiplier of a pair of finite dimensional Lie algebras and their factor Lie algebras. Moreover, we present some inequalities for the Schur multiplier of a pair of finite dimensional nilpotent Lie algebras.

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