×

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

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)].

MSC:

17B01 Identities, free Lie (super)algebras

Citations:

Zbl 0798.17001
PDF BibTeX XML Cite