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Polynomial Lie algebras and the Zelmanov-Shalev theorem

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Publication:4581629
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DOI10.1070/RM9804zbMath1435.17009OpenAlexW2794112898MaRDI QIDQ4581629

Victor M. Buchstaber

Publication date: 20 August 2018

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9804


zbMATH Keywords

Lie algebras of differential operatorsWitt algebraLie algebras of maximal classpolynomial Lie algebra


Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70)


Related Items (3)

Polynomial Lie algebras and growth of their finitely generated Lie subalgebras ⋮ Lie algebras of slow growth and Klein-Gordon PDE ⋮ Naturally graded Lie algebras of slow growth



Cites Work

  • Polynomial dynamical systems and the Korteweg-de Vries equation
  • Narrow Lie algebras: A coclass theory and a characterization of the Witt algebra
  • Polynomial Lie algebras


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