Dieter Blessenohl:

On the Theorem of Poincaré, Birkhoff and Witt

This paper presents a proof for the theorem of Poincaré, Birkhoff and Witt and related results, based on calculations in the Malvenuto-Reutenauer algebra. It is a contribution to the study of Solomon's descent algebra and its connections with the free Lie algebra.

Mathematics Subject Classification (1991): 05E99, 16S10, 17B01

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[Thu Feb 19 18:56:37 2009]

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