Solving nonlinear equations from higher order derivations in linear stages

DOI10.1016/0001-8708(90)90088-5zbMath0716.17014OpenAlexW2129417531MaRDI QIDQ752828

Robert L. Grossman, Richard Gustavus Larson

Publication date: 1990

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90088-5

zbMATH Keywords

algorithmsnilpotent Lie algebrafinite treesapproximations to higher order derivations

Mathematics Subject Classification ID

Trees (05C05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (7)

Differential algebra structures on families of trees. ⋮ On the Hopf algebra of functional graphs and differential algebras ⋮ Hopf-algebraic structure of combinatorial objects and differential operators ⋮ An exponential formula for polynomial vector fields. II: Lie series, exponential substitution, and rooted trees ⋮ Symbolic computation of derivations using labelled trees ⋮ Cocommutative Hopf algebras of permutations and trees. ⋮ Models for free nilpotent Lie algebras

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