A polynomial realization of the Hopf algebra of uniform block permutations |
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| Authors: | Rémi Maurice |
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| Institution: | Institut Gaspard Monge, Université Paris-Est Marne-la-Vallée, 5 Boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France |
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| Abstract: | We provide a polynomial realization of the Hopf algebra UBP of uniform block permutations defined by Orellana and Aguiar (2008) 11]. We describe an embedding of the dual of the Hopf algebra WQSym into UBP, and as a consequence, obtain a polynomial realization of it. |
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| Keywords: | primary 05C05 secondary 16W30 |
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