Document Zbl 0807.17003

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Hausdorff series, Eulerian idempotents and Hopf algebras. (Série de Hausdorff, idempotents eulériens et algèbres de Hopf.) (French) Zbl 0807.17003

Expo. Math. 12, No. 2, 165-178 (1994).

Using systematically the convolution product in the free associative algebra (arising from its structure of enveloping algebra of the free Lie algebra), the author shows the link between the Hausdorff series, the canonical projections and the Eulerian idempotents. See also the reviewer’s book [Free Lie algebras (Oxford Univ. Press, 1993; Zbl 0798.17001)], and F. Patras [J. Algebra 170, No. 2, 547-566 (1994)].

Reviewer: C.Reutenauer (Montreal)

Cited in 15 Documents

MSC:

17B01

Identities, free Lie (super)algebras

Keywords:

convolution product; free Lie algebra; Hausdorff series; canonical projections; Eulerian idempotents

Citations:

Zbl 0798.17001

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