Commutative combinatorial Hopf algebras.

From MaRDI portal
Publication:1024805

DOI10.1007/s10801-007-0077-0zbMath1181.16031arXivmath/0605262OpenAlexW2019582080MaRDI QIDQ1024805

Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon

Publication date: 17 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0605262



Related Items

Binary shuffle bases for quasi-symmetric functions, Noncommutative Bell polynomials and the dual immaculate basis, Representations and identities of plactic-like monoids, On composition polynomials, Chord diagrams, contact-topological quantum field theory and contact categories, Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids, Combinatorial Hopf algebras and towers of algebras -- dimension, quantization and functorality., A Faà di Bruno subalgebra of the graded dual of word symmetric functions, On atomic and unsplitable endofunctions, Finite basis problems for stalactic, taiga, sylvester and baxter monoids, Tropical representations and identities of the stylic monoid, Representations and identities of Baxter monoids with involution, Representations and identities of hypoplactic monoids with involution, On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials, Polynomial realizations of some combinatorial Hopf algebras, Noncommutative symmetric functions. VII: Free quasi-symmetric functions revisited, Strong forms of linearization for Hopf monoids in species, The monomial basis and the \(Q\)-basis of the Hopf algebra of parking functions., CHROMATIC POLYNOMIALS AND BIALGEBRAS OF GRAPHS, Natural endomorphisms of quasi-shuffle Hopf algebras, Noncommutative unicellular LLT polynomials, The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables, THE HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND QUASI-SYMMETRIC FUNCTIONS IN NON-COMMUTATIVE VARIABLES ARE FREE AND CO-FREE, Combinatorics of cyclic shifts in plactic, hypoplactic, Sylvester, Baxter, and related monoids, Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras, Chinese syzygies by insertions, Multiple Lie derivatives and forests


Uses Software


Cites Work