The plethystic Hopf algebra of MacMahon symmetric functions

Mercedes Rosas

Universidad Simon Bolivar, Caracas, Venezuela

November 20,
(MONDAY)
refreshments at 3:45pm
2-338

ABSTRACT 

We give a combinatorial overview of the plethystic Hopf algebra structure of the MacMahon relying on the construction of a plethystic Hopf algebra from any alphabet of neutral letters obtained by G.-C. Rota and J. Stein. A MacMahon symmetric function is a formal power series of bounded degree, in a finite number of infinite alphabets, that is invariant under the diagonal action of the symmetric group.


Speaker's Contact Info: mrosas(at-sign)usb.ve


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