Frank Sottile: Papers on Combinatorial Hopf Algebras

Frank Sottile's Homepage.
For a hard copy, please write me at sottile "at" math.tamu.edu.
Some include one or more appendices or an additional link which amplify some portions of the article.

Papers in Combinatorics,   Geometry,   Schubert calculus,   Real Algebraic Geometry,   Computational Algebraic Geometry,   Applicable Algebraic Geometry,   and   Computational Geometry.

1
Cocommutative Hopf algebras of permutations and trees, with Marcelo Aguiar. Journal of Algebraic Combinatorics, Volume 22, Number 4, pp. 451--470.
2
Combinatorial Hopf Algebras and generalized Dehn-Sommerville relations, with Marcelo Aguiar and Nantel Bergeron, Compositio Mathematica, 142, January 2006, pp. 1-30.
3
Structure of the Loday-Ronco Hopf algebra of trees, with Marcelo Aguiar, Journal of Algebra, Volume 295, Issue 2 , 15 January 2006, Pages 473-511
4
Structure of the Malvenuto-Reutenauer Hopf algebra of permutations, with Marcelo Aguiar, Advances in Mathematics 191, (2005), 225--275.
5
Shifted quasi-symmetric functions and the Hopf algebra of peak functions with Nantel Bergeron, S. Mykytiuk, and S. van Willigenburg, Discrete Math., 256 (2002), 57-66.
6
Non-commutative Pieri operators on posets, Nantel Bergeron, S. Mykytiuk, and S. van Willigenburg, J. Combin. Th. Ser. A, Vol. 91, No. 1/2, Aug 2000, pp. 84-110.
Last modified 27 June 2008