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RIGIDITY FOR MPR, THE MALVENUTO-POIRIER-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS

Hazewinkel, Michiel

  • Received : 2006.06.27
  • Accepted : 2006.08.05
  • Published : 2007.12.25

Abstract

In this note it is proved that MPR is rigid as a Hopf algebra with distinguished basis. I.e. there are no nontrivial automorphisms that preserve the multiplication and comultiplication and take the distinguished basis of all permutations into itself (as a graded set).

Keywords

MPR Hopf algebra;rigidity;Hopf algebra of permutations

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