Nilpotent Lie algebras have played an important role in mathematics in the classification theory of Lie algebras. Let (N, L) be a pair of finite dimensional Lie algebras. Let K be an ideal of L such that L = N ⊕ K and N be a filiform ideal of L. Also, let dim N = n and dim K = m. Then s′(N, L) = 1/2(n − 1)(n − 2) + 1 + (n − 1)m − dim M(N, L). In this paper, we characterize the pair (N, L) for s′(N; L) = 0, 1, 2,..., 15.
Arabyani, H. (2022). On Schur Multiplier of a Pair of Lie Algebras. Global Analysis and Discrete Mathematics, 7(2), 161-169. doi: 10.22128/gadm.2022.531.1072
MLA
Homayoon Arabyani. "On Schur Multiplier of a Pair of Lie Algebras". Global Analysis and Discrete Mathematics, 7, 2, 2022, 161-169. doi: 10.22128/gadm.2022.531.1072
HARVARD
Arabyani, H. (2022). 'On Schur Multiplier of a Pair of Lie Algebras', Global Analysis and Discrete Mathematics, 7(2), pp. 161-169. doi: 10.22128/gadm.2022.531.1072
VANCOUVER
Arabyani, H. On Schur Multiplier of a Pair of Lie Algebras. Global Analysis and Discrete Mathematics, 2022; 7(2): 161-169. doi: 10.22128/gadm.2022.531.1072
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