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Malvenuto, C. and Reutenauer, C. (1995) Duality between Quasi-Symmetrical Functions and the Solomon Descent Algebra. Journal of Algebra, 177, 967-982.
https://doi.org/10.1006/jabr.1995.1336

has been cited by the following article:

• TITLE: Coupling Product on Permutations

  AUTHORS: Yishuo Yang, Huilan Li

  KEYWORDS: Permutation, Coupling Product, Graded, Algebra

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.12, December 12, 2024

  ABSTRACT: In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a graded algebra.