The weight decomposition of Hopf algebras

DOI10.5802/aif.1365zbMath0795.16028OpenAlexW2325419238MaRDI QIDQ1318006

Frédéric Patras

Publication date: 26 April 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_4_1067_0

zbMATH Keywords

free Lie algebralogarithmconvolution powersconvolution algebralinear endomorphismsconnected Hopf algebraweight-decomposition

Mathematics Subject Classification ID

Related Items (21)

Projective configurations, homology of orthogonal groups, and Milnor \(K\)-theory ⋮ Unnamed Item ⋮ Deformations of shuffles and quasi-shuffles ⋮ HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY ⋮ Algebraic structures underlying quantum independences: theory and applications ⋮ Nonlocal, noncommutative diagrammatics and the linked cluster theorems ⋮ Higher Lie idempotents ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ Lie Theory for Quasi-Shuffle Bialgebras ⋮ COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I ⋮ A Lie theoretic approach to renormalization ⋮ Natural endomorphisms of quasi-shuffle Hopf algebras ⋮ Hyperoctahedral Chen calculus for effective hamiltonians ⋮ Generic algebras and iterated Hochschild homology ⋮ Witt vectors. Part 1 ⋮ Trees, set compositions and the twisted descent algebra ⋮ ENVELOPING ALGEBRAS OF PRELIE ALGEBRAS, SOLOMON IDEMPOTENTS AND THE MAGNUS FORMULA ⋮ NATURAL ENDOMORPHISMS OF SHUFFLE ALGEBRAS ⋮ Twisted descent algebras and the Solomon-Tits algebra. ⋮ A Leray theorem for the generalization to operads of Hopf algebras with divided powers ⋮ Algèbre des descentes et cogroupes dans les algèbres sur une opérade

Cites Work

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• A decomposition of Solomon's descent algebra
• \(\lambda\)-rings and the representation theory of the symmetric group
• The shuffle bialgebra and the cohomology of commutative algebras
• A Hodge-type decomposition for commutative algebra cohomology
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• The descent algebra of a graded bialgebra
• Harrison homology, Hochschild homology and triples
• On the structure of Hopf algebras
• Construction géométrique des idempotents eulériens. Filtration des groupes de polytopes et des groupes d'homologie de Hochschild

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