# Representation of Real Solvable Lie Algebras Having 2-dimensional Derived Ideal and Geometry of Coadjoint Orbits of Corresponding Lie Groups

@inproceedings{Nguyen2021RepresentationOR, title={Representation of Real Solvable Lie Algebras Having 2-dimensional Derived Ideal and Geometry of Coadjoint Orbits of Corresponding Lie Groups}, author={Tu T. C. Nguyen and Vu Anh Le}, year={2021} }

Given a Lie algebra G, let μ(G) be the minimal degree of a faithful representation of G. This is an integer valued invariant of G, which has been introduced by D. Burde [3] in 1998. It is not known, in general, how to determine this invariant for a given solvable Lie algebra. Lie (n, k) denotes the class of all n-dimensional real solvable Lie algebras having k-dimensional derived ideals. In 2020 we [18] gave a classification of all non 2-step nilpotent Lie algebras of Lie (n, 2). We propose in… Expand

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