An Upper Bound for the Lower Central Series Quotients of a Free Associative Algebra

DOI10.1093/imrn/rnn039zbMath1146.16011arXiv0801.1997OpenAlexW2963229702WikidataQ102734774 ScholiaQ102734774MaRDI QIDQ3515962

Galyna Dobrovolska, Pavel I. Etingof

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1997

zbMATH Keywords

polynomial growthfree associative algebrasirreducible modulesJordan-Hölder seriesYoung diagramsLie algebras of polynomial vector fieldslower central series filtrations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Growth rate, Gelfand-Kirillov dimension (16P90) Lie algebras of vector fields and related (super) algebras (17B66) Filtered associative rings; filtrational and graded techniques (16W70)

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