The primitives of the Hopf algebra of noncommutative symmetric functions

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dc.creatorHazewinkel, Michiel
dc.date2004-10-16
dc.date.accessioned2026-07-07T05:13:20Z
dc.date.available2026-07-07T05:13:20Z
dc.descriptionLet NSymm be the Hopf algebra of noncommutative symmetric functions over the integers. In this paper a description is given of its Lie algebra of primitives over the integers, Prim(NSymm), in terms of recursion formulas. For each of the primitives of a basis of Prim(NSymm), indexed by Lyndon words, there is a recursively given divided power series over it. This gives another proof of the theorem that the algebra of quasi-symmetric functions is free over the integers.
dc.description26 pages. The primitives are described over the integers (not over a characteristic zero field, which is much easier)
dc.identifierhttps://arxiv.org/abs/math/0410365
dc.identifierhttp://arxiv.org/abs/math/0410365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72905
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject16W30, 05E05
dc.titleThe primitives of the Hopf algebra of noncommutative symmetric functions
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