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A combinatorial PROP for bialgebras (2106.13107v2)
Published 24 Jun 2021 in math.CT
Abstract: It is a classical result that the category of finitely-generated free monoids serves as a PROP for commutative bialgebras. Attaching permutations to fix the order of multiplication, we construct an extension of this category that is equivalent to the PROP for bialgebras.
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