Concepedia

Structure of the Malvenuto–Reutenauer Hopf algebra of permutations

Marcelo Aguiar, Frank Sottile

Advances in Mathematics · 2004 · 178 citations · 18 references

DOI

Concepts

References

18

On the Structure of Hopf Algebras

John Milnor, John C. Moore · Annals of Mathematics · 1965 · 1.6K citations

, , +10

Noncommutative Symmetrical Functions

Israel M. Gelfand, D. Krob, Alain Lascoux et al. · Advances in Mathematics · 1995 · 593 citations

Hopf Algebra of the Planar Binary Trees

Jean-Louis Loday, Marı́a Ronco · Advances in Mathematics · 1998 · 449 citations

, , +12

Duality between Quasi-Symmetrical Functions and the Solomon Descent Algebra

Claudia Malvenuto, Christophe Reutenauer · Journal of Algebra · 1995 · 338 citations

, , +9

NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS

Gérard Duchamp, Florent Hivert, Jean‐Yves Thibon · International Journal of Algebra and Computation · 2002 · 295 citations

, , +16