Orthogonal projection onto the free Lie algebra

DOI10.1016/0304-3975(91)90153-SzbMath0725.17006OpenAlexW2071120444WikidataQ115363678 ScholiaQ115363678MaRDI QIDQ2277559

Gérard H. E. Duchamp

Publication date: 1991

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(91)90153-s

zbMATH Keywords

free Lie algebraorthogonal projectionfree monoidword lengthfree associative algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Identities, free Lie (super)algebras (17B01) Word problems, etc. in computability and recursion theory (03D40)

Related Items

NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS ⋮ Fliess series, a generalization of the Ree's theorem, and an algebraic approach to a homogeneous approximation problem ⋮ The shuffle algebra and its derivations ⋮ On the adjoint of the Eulerian idempotent in an analytic context ⋮ Lie representations and an algebra containing Solomon's. ⋮ On the support of graph Lie algebras

Cites Work

• Lie elements and an algebra associated with shuffles
• Le support de l'algèbre de Lie libre. (Support of the free Lie algebra)
• Lie elements in the tensor algebra
• Lyndon Words, Free Algebras and Shuffles
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item