A word Hopf algebra based on the selection/quotient principle
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hep-th
keywords
algebrahopfpackedquotientselectionwordsconstructcoproduct
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In this paper, we define a Hopf algebra structure on the vector space spanned by packed words using a selection/quotient coproduct. We show that this algebra is free on its irreducible packed words. We also construct the Hilbert series of this Hopf algebra and we investigate its primitive elements.
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