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RIGIDITY FOR MPR, THE MALVENUTO-POIRIER-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS
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  • Journal title : Honam Mathematical Journal
  • Volume 29, Issue 4,  2007, pp.495-509
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2007.29.4.495
 Title & Authors
RIGIDITY FOR MPR, THE MALVENUTO-POIRIER-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS
Hazewinkel, Michiel;
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 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;
 Language
English
 Cited by
 References
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