Lie powers and pseudo-idempotents

Marianne Johnson, Ralph Stöhr

    Research output: Contribution to journalArticlepeer-review


    We give a new factorisation of the classical Dynkin operator, an element of the integral group ring of the symmetric group that facilitates projections of tensor powers onto Lie powers. As an application we show that the iterated Lie power L 2(L n) is a module direct summand of the Lie power L 2n whenever the characteristic of the ground field does not divide n. An explicit projection of the latter onto the former is exhibited in this case. © Canadian Mathematical Society 2010.
    Original languageEnglish
    Pages (from-to)297-301
    Number of pages4
    JournalCanadian Mathematical Bulletin
    Issue number2
    Publication statusPublished - Jun 2011


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