The Hopf algebra of uniform block permutations. Extended abstract

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We introduce the Hopf algebra of uniform block permutations and show that it is self-dual, free, and cofree. These results are closely related to the fact that uniform block permutations form a factorizable inverse monoid. This Hopf algebra contains the Hopf algebra of permutations of Malvenuto and Reutenauer and the Hopf algebra of symmetric functions in non-commuting variables of Gebhard, Rosas, and Sagan.
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Rings and Algebras, Combinatorics, 05E99, 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/75145

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505199
 http://arxiv.org/abs/math/0505199

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arXiv