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arxiv: 1006.0367 · v3 · submitted 2010-06-02 · 🧮 math.CO · math.RA· math.RT

The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables

classification 🧮 math.CO math.RAmath.RT
keywords algebraantipodefunctionshopfnoncommutingsymmetricvariablescollection
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We identify a collection of primitive elements generating the Hopf algebra NCSym of symmetric functions in noncommuting variables and give a combinatorial formula for the antipode.

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