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arxiv: 1609.06901 · v1 · pith:7IX6UVELnew · submitted 2016-09-22 · 🧮 math.RA

On growth of metabelian Lie algebras

classification 🧮 math.RA
keywords algebrasgrowthexamplesfinitelymetabelianpresentedcomputingconstruct
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For any integer $d\geq 1$ we construct examples of finitely presented algebras with intermediate growth of type $[e^{n^{d/(d+1)}}]$. We produce these examples by computing the growth types of some finitely presented metabelian Lie algebras.

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