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...

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Bibliographic Details
Main Authors: Mengyu Liu, Huilan Li
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/6/1010