A Hopf Algebra on Permutations Arising from Super-Shuffle Product
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, whi...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-06-01
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Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/13/6/1010 |