In this paper, we first prove that any atom of a permutation obtained by the super-shuffle product of two permutations can only consist of some complete atoms of the original… Click to show full abstract
In this paper, we first prove that any atom of a permutation obtained by the super-shuffle product of two permutations can only consist of some complete atoms of the original two permutations. Then, we prove that the super-shuffle product and the cut-box coproduct on permutations are compatible, which makes it a bialgebra. As this algebra is graded and connected, it is a Hopf algebra.
Keywords:
hopf algebra;
algebra permutations;
super shuffle;
shuffle product
Journal Title: Symmetry
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Symmetry
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!