Higher Lie idempotents

DOI10.1006/jabr.1999.7887zbMath0956.16017OpenAlexW2024889089WikidataQ115395806 ScholiaQ115395806MaRDI QIDQ1969473

Christophe Reutenauer, Frédéric Patras

Publication date: 5 December 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5348380a893cbcd2030bd957a4fccee39ee2a659

zbMATH Keywords

convolution productsprimitive elementsLie algebrascofree cocommutative coalgebrasLie idempotentsconnected graded cocommutative bialgebrasdual Leray theoremenveloping bialgebrastensor bialgebras

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Lie bialgebras; Lie coalgebras (17B62)

Related Items

Lie idempotent algebras., Unnamed Item, Modular idempotents for the descent algebras of type A and higher Lie powers and modules, A Hopf algebra for counting cycles, The peak algebra of the symmetric group revisited., The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables, A symmetry property of Solomon's algebra and of higher Lie characters, Multiplicities of Higher Lie Characters, Lie representations and an algebra containing Solomon's.

Cites Work

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• A decomposition of Solomon's descent algebra
• The weight decomposition of Hopf algebras
• The descent algebra of a graded bialgebra
• On the structure of Hopf algebras
• Noncommutative Symmetric Functions II: Transformations of Alphabets