The Multiplihedra Hopf Module


All files here are by Aaron Lauve.

Table of Contents

  1. Map on M-basis from Malvenuto-Reutenauer Hopf Algebra.
  2. Map on M-basis to Loday-Ronco Hopf Algebra.
  3. Co-module structure
  4. Module structure in the F-basis
  5. Module structure in the M-basis
  6. Module structure in the F-basis (corrected)
  7. Module structure in the M-basis (corrected)
  8. Module structure in the F-basis (over Permutations)
  9. Module structure in the M-basis (over Permutations)
  10. Chains 1-4
    Chains 5
  11. Experimental sequence of primitives.

Bibliography
[AS02] M. Aguiar and F. Sottile, Structure of the Malvenuto-Reutenauer Hopf algebra of permutations, with Marcelo Aguiar, Advances in Mathematics 191, (2005), 225--275.
[AS06]                   , Structure of the Loday-Ronco Hopf algebra of trees, with Marcelo Aguiar, Journal of Algebra, Volume 295, Issue 2 , 15 January 2006, Pages 473-511.

Last Modified: 22 July 2008 by Frank Sottile