A polynomial realization of the Hopf algebra of uniform block permutations

Abstract : We investigate the combinatorial Hopf algebra based on uniform block permutations and we realize this algebra in terms of noncommutative polynomials in infinitely many bi-letters.
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Rémi Maurice. A polynomial realization of the Hopf algebra of uniform block permutations. 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) , Jul 2012, Nagoya, Japan. pp.191-202. ⟨hal-01044879⟩

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