Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 6 2 2021 11 01 The Schur Multiplier of Pairs of Nilpotent Lie Algebras 215 220 223 10.22128/gadm.2021.457.1053 EN Homayoon Arabyani Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran. Journal Article 2021 10 06 The Schur multiplier of a pair of groups was introduced by Ellis in 1998. In this paper, we study the Schur multiplier and the c-nilpotent multiplier of pairs of Lie algebras and give some conditions under which the Schur multiplier of a pair of Lie algebras is trivial. Moreover, we give some conditions under which the higher multiplier of a pair of Lie algebras is not trivial. https://ansne.du.ac.ir/article_223_58696128d1e2120f5d3f45b4636f377d.pdf