THE EQUATION [x,u] + [y,v] = 0 IN FREE LIE ALGEBRAS

DOI10.1142/S0218196707004104zbMath1201.17001OpenAlexW2079184000WikidataQ115245916 ScholiaQ115245916MaRDI QIDQ5386961

Ralph Stöhr, Vladimir N. Remeslennikov

Publication date: 14 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196707004104

zbMATH Keywords

free Lie algebraslinear equationsradicaldimensions of homogeneous components of solution space

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Free nonabelian groups (20E05)

Related Items (6)

Algebraic geometry over algebraic structures. II: Foundations ⋮ On linear equations in free Lie algebras ⋮ Commutative post-Lie algebra structures and linear equations for nilpotent Lie algebras ⋮ Undecidability of equations in free Lie algebras ⋮ Almost inner derivations of Lie algebras II ⋮ Degree estimate for commutators.

Cites Work

• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Algebraic geometry over groups. II: Logical foundations
• Groupes et algérbes de Lie
• The Schreier Technique for Subalgebras of a Free Lie Algebra

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