On the pair of nilpotent Lie algebras
Mostafa Sajedi, Mohammad Reza R. Moghaddam

TL;DR
This paper classifies pairs of finite dimensional nilpotent Lie algebras based on a specific invariant, focusing on those where the invariant equals 6 or 7, thereby advancing understanding of their structural properties.
Contribution
It provides a classification of all such pairs with the invariant values 6 and 7, which was previously unexplored.
Findings
Complete classification for pairs with s(N,L)=6
Complete classification for pairs with s(N,L)=7
Enhanced understanding of the structure of nilpotent Lie algebra pairs
Abstract
Let be a pair of finite dimensional nilpotent Lie algebras and admits a complement in such that and . Let , where denotes the multiplier of the pair . The aim of this paper is to classify all pairs of finite dimensional nilpotent Lie algebras , for which .
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Taxonomy
TopicsAdvanced Topics in Algebra · Finite Group Theory Research · Algebraic structures and combinatorial models
