Deformation of the Hopf algebra of plane posets

作者:Foissy Loic*
来源:European Journal of Combinatorics, 2014, 38: 36-60.
DOI:10.1016/j.ejc.2013.11.001

摘要

We describe and study a four parameters deformation of the two products and the coproduct of the Hopf algebra of plane posets. We obtain a family of braided Hopf algebras, which are generically self-dual. We also prove that in a particular case (when the second parameter goes to zero and the first and third parameters are equal), this deformation is isomorphic, as a self-dual braided Hopf algebra, to a deformation of the Hopf algebra of free quasi-symmetric functions FQSym.

  • 出版日期2014-5