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- W4297581818 abstract "In this paper we present a lower bound for the minimal dimension $mu(mathfrak{n})$ of a faithful representation of a finite dimensional $p$-step nilpotent Lie algebra $mathfrak{n}$ over a field of characteristic zero. Our bound is given as the minimum of a quadratically constrained linear optimization problem, it works for arbitrary $p$ and takes into account a given filtration of $mathfrak{n}$. We present some estimates of this minimum which leads to a very explicit lower bound for $mu(mathfrak{n})$ that involves the dimensions of $mathfrak{n}$ and its center. This bound allows us to obtain $mu(mathfrak{n})$ for some families of nilpotent Lie algebras." @default.
- W4297581818 created "2022-09-30" @default.
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- W4297581818 date "2014-07-01" @default.
- W4297581818 modified "2023-10-16" @default.
- W4297581818 title "A lower bound for faithful representations of nilpotent Lie algebras" @default.
- W4297581818 doi "https://doi.org/10.48550/arxiv.1407.0226" @default.
- W4297581818 hasPublicationYear "2014" @default.
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