Pianzola, A.; Valencia, J. The Hopf shuffle algebra and Lie series. (English) Zbl 1011.17005 Drensky, Vesselin S. (ed.) et al., Methods in ring theory. Proceedings of the Trento conference, Trento, Italy. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 198, 223-227 (1998). Summary: We prove that the Lie algebra of the affine group scheme corresponding to the Hopf shuffle algebra is an algebra of Lie series.For the entire collection see [Zbl 0920.00028]. Cited in 1 Document MSC: 17B01 Identities, free Lie (super)algebras 14L15 Group schemes 16W70 Filtered associative rings; filtrational and graded techniques Keywords:Lyndon words; Lie algebra of the affine group scheme; Hopf shuffle algebra; algebra of Lie series PDFBibTeX XMLCite \textit{A. Pianzola} and \textit{J. Valencia}, Lect. Notes Pure Appl. Math. 198, 223--227 (1998; Zbl 1011.17005)