Abstract
The purpose of this paper is to obtain some inequalities and certain bounds for the dimension of the c-nilpotent multiplier of finite dimensional nilpotent Lie algebras and their factor Lie algebras. Also, we give an inequality for the dimension of the c-nilpotent multiplier of L connected with dimension of the Lie algebras ${\gamma _d}(L)$ and $L/{Z_{d - 1}}(L)$. Finally, we compare our results with the previously known result.
Citation
M Araskhan. "Verification of Some Properties of the C-nilpotent Multiplier in Lie Algebras." J. Gen. Lie Theory Appl. 9 (2) 1 - 3, 2015. https://doi.org/10.4172/1736-4337.1000228
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