Differential Hopf algebra structures on the Universal Enveloping Algebra of a Lie Algebra

N.W. van den Hijligenberg, N. van den Hijligenberg, Ruud Martini

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    Abstract

    We discuss a method to construct a De Rham complex (differential algebra) of Poincaré–Birkhoff–Witt type on the universal enveloping algebra of a Lie algebra g. We determine the cases in which this gives rise to a differential Hopf algebra that naturally extends the Hopf algebrastructure of U(g). The construction of such differential structures is interpreted in terms of color Lie superalgebras.
    Original languageUndefined
    Pages (from-to)524-532
    Number of pages11
    JournalJournal of mathematical physics
    Volume37
    DOIs
    Publication statusPublished - 1995

    Keywords

    • IR-102317
    • METIS-140397

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