Cocommutative Hopf Algebras of Permutations and Trees

Author:

Aguiar Marcelo,Sottile Frank

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference33 articles.

1. Marcelo Aguiar, Nantel Bergeron, and Frank Sottile, “Combinatorial Hopf algebras and generalized Dehn-Sommerville relations,” math.CO/0310016. To appear in Compos. Math.

2. Marcelo Aguiar and Frank Sottile, “Structure of the Malvenuto-Reutenauer Hopf algebra of permutations,” Adv. Math. 191(2) (2005), 225–275.

3. Marcelo Aguiar and Frank Sottile, “Structure of the Hopf algebra of planar binary trees of Loday and Ronco,” math.CO/0409022, 2004. To appear in Journal of Algebra.

4. Frédéric Chapoton and Muriel Livernet, “Pre-Lie algebras and the rooted trees operad,” Internat. Math. Res. Notices (8) (2001), 395–408.

5. A. Connes and D. Kreimer, “Hopf algebras, renormalization and noncommutative geometry,” Comm. Math. Phys. 199 (1998), 203–242.

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