A pair of dual Hopf algebras on permutations

Author:

Zhao Mingze, ,Li Huilan

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference36 articles.

1. H. Hopf, Über die topologie der Gruppen-Mannigfaltigkeiten und ihrer verallgemeinerungen, In: Selecta Heinz Hopf, Berlin: Springer, 1941. Available from: https://doi.org/10.1007/978-3-662-25046-4_9.

2. J. W. Milnor, J. C. Moore, On the structure of Hopf algebras, Ann. Math., 81 (1965), 211–264.

3. M. E. Sweedler, Hopf Algebras, New York: W. A. Benjamin, Inc., 1969.

4. V. A. Artamonov, The structure of Hopf algebras, J. Math. Sci., 71 (1994), 2289–2328.

5. I. Kaplansky, Bialgebras, Department of Mathematics University of Chicago Chicago ILL, 2 (1975), 247–251.

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1. Super-Shuffle Product and Cut-Box Coproduct on (0,1)-Matrices;Open Journal of Applied Sciences;2023

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3. Algebra and Coalgebra on Posets;Open Journal of Applied Sciences;2022

4. A Hopf Algebra on Permutations Arising from Super-Shuffle Product;Symmetry;2021-06-04

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