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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].

MSC:

17B01 Identities, free Lie (super)algebras
14L15 Group schemes
16W70 Filtered associative rings; filtrational and graded techniques
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