Cocommutative Hopf algebras of permutations and trees.

DOI10.1007/s10801-005-4628-yzbMath1094.16024arXivmath/0403101OpenAlexW1987706087MaRDI QIDQ2490393

Marcelo Aguiar, Frank J. Sottile

Publication date: 2 May 2006

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403101

zbMATH Keywords

symmetric groupscoradical filtrationsrooted treesgraded Hopf algebrascocommutative Hopf algebrasplanar binary trees

Mathematics Subject Classification ID

Trees (05C05) Combinatorial aspects of representation theory (05E10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (9)

The eigenvalues of hyperoctahedral descent operators and applications to card-shuffling ⋮ Hopf algebras on planar trees and permutations ⋮ Structure of the Loday-Ronco Hopf algebra of trees. ⋮ On the stability of some groups of formal diffeomorphisms by the Birkhoff decomposition ⋮ Rota-Baxter algebras and dendriform algebras. ⋮ The monomial basis and the \(Q\)-basis of the Hopf algebra of parking functions. ⋮ On products and duality of binary, quadratic, regular operads ⋮ Hopf Algebras of Heap Ordered Trees and Permutations ⋮ Commutative combinatorial Hopf algebras.

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