The Hopf algebra of uniform block permutations. Extended abstract

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dc.creatorAguiar, Marcelo
dc.creatorOrellana, Rosa C.
dc.date2005-05-10
dc.date.accessioned2026-07-07T05:19:47Z
dc.date.available2026-07-07T05:19:47Z
dc.descriptionWe 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.
dc.descriptionExtended abstract
dc.identifierhttps://arxiv.org/abs/math/0505199
dc.identifierhttp://arxiv.org/abs/math/0505199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75145
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subject05E99, 16W30
dc.titleThe Hopf algebra of uniform block permutations. Extended abstract
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