The primitives of the Hopf algebra of noncommutative symmetric functions

Autores

  • Michiel Hazewinkel

DOI:

https://doi.org/10.11606/issn.2316-9028.v1i2p175-202

Resumo

Let NSymm be the Hopf algebra of noncommutative symmetricfunctions over the integers. In this paper a description is givenof its Lie algebra of primitives over the integers, Prim(NSymm), interms of recursion formulas. For each of the primitives of a basis ofPrim(NSymm), indexed by Lyndon words, there is a recursively givendivided power series over it. This gives another proof of the theoremthat the algebra of quasi-symmetric functions is free over the integers.

Downloads

Os dados de download ainda não estão disponíveis.

Downloads

Publicado

2007-12-30

Edição

Seção

Artigos

Como Citar

The primitives of the Hopf algebra of noncommutative symmetric functions. (2007). São Paulo Journal of Mathematical Sciences, 1(2), 175-202. https://doi.org/10.11606/issn.2316-9028.v1i2p175-202