On posets and Hopf algebras
From MaRDI portal
Publication:1915391
DOI10.1006/aima.1996.0026zbMath0851.16033OpenAlexW2013502334WikidataQ56625073 ScholiaQ56625073MaRDI QIDQ1915391
Publication date: 3 November 1996
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aima.1996.0026
Hopf algebrassimplicial complexesbialgebrasfinite posetsMoebius functionquasisymmetric functionsZeta polynomial
Related Items
Relations of multiple zeta values and their algebraic expression., Positivity among \(P\)-partition generating functions, The Pieri rule for dual immaculate quasi-symmetric functions, Compositions inside a rectangle and unimodality, Random walks on quasisymmetric functions, Whitney labelings and 0-Hecke algebra actions on graded posets, Cyclic Inclusion-Exclusion, About the packed words Hopf algebra WMat, A lattice path interpretation of the diamond product, A Hopf algebra of subword complexes, Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras, The c--2d-index of oriented matroids, Quasi-symmetric functions and the KP hierarchy, Quasisymmetric and noncommutative skew Pieri rules, Multiplicity free Schur, skew Schur, and quasisymmetric Schur functions, A Hopf algebraic approach to Schur function identities, The flag polynomial of the Minkowski sum of simplices, Eulerian quasisymmetric functions, The mod 2 dual Steenrod algebra as a subalgebra of the mod 2 dual Leibniz-Hopf algebra, Conjugation invariants in the Leibniz-Hopf algebra., Modules of the 0-Hecke algebra and quasisymmetric Schur functions, Skew row-strict quasisymmetric Schur functions, Row-strict quasisymmetric Schur functions, Equality of \(P\)-partition generating functions., Quasisymmetric Functions for Nestohedra, Chain decomposition and the flag \(f\)-vector., Peak quasisymmetric functions and Eulerian enumeration, Properties of the descent algebras of type \(D\)., Scheduling problems, Skew quasisymmetric Schur functions and noncommutative Schur functions, Irreducible representations of semisimple algebraic groups and supersolvable lattices., Evolution on distributive lattices, FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES, \(P\)-partition power sums, Weak quasi-symmetric functions, Rota-Baxter algebras and Hopf algebras, Balanced and Bruhat graphs, Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras., The \(r\)-signed Birkhoff transform, Double posets and the antipode of QSym, A poset view of the major index., Colored posets and colored quasisymmetric functions, The Tchebyshev transforms of the first and second kind, Renormalization of multiple zeta values, Oriented interval greedoids, Quasi-shuffle products, Generating functions from the viewpoint of Rota-Baxter algebras, Galois connections for incidence Hopf algebras of partially ordered sets, Linear inequalities for enumerating chains in partially ordered sets, The rank-generating functions of upho posets, The descent set polynomial revisited, Algebraic lattices in QFT renormalization, Antipodes and involutions, Dual immaculate quasisymmetric functions expand positively into Young quasisymmetric Schur functions, Double posets and the antipode of QSym, Hopf algebras and the logarithm of the $S$-transform in free probability, Hopf algebra structure of symmetric and quasisymmetric functions in superspace, Quasisymmetric functions and Kazhdan-Lusztig polynomials., Rigidity for the Hopf algebra of quasisymmetric functions, Enumeration in convex geometries and associated polytopal subdivisions of spheres, The Whitney duals of a graded poset, The Hopf algebras of signed permutations, of weak quasi-symmetric functions and of Malvenuto-Reutenauer, Structure of the Malvenuto-Reutenauer Hopf algebra of permutations, Algebraic Aspects of Multiple Zeta Values, On weak peak quasisymmetric functions, Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables, Cyclotomic factors of the descent set polynomial, Divided symmetrization and quasisymmetric functions, Unnamed Item, Toward a polynomial basis of the algebra of peak quasisymmetric functions, Sign variation and descents, Sign variation and descents, Affine and toric hyperplane arrangements, Combinatorial models for coalgebraic structures, Coproducts and the cd-index, On quasisymmetric power sums, On the \(\mathrm{mod}p\) Steenrod algebra and the Leibniz-Hopf algebra, The 𝑐𝑑-index: A survey, Conjugation Invariants in the Mod 2 Dual Leibniz–Hopf Algebra, Plethysm and conjugation of quasi-symmetric functions., Noncommutative Pieri operators on posets, A class of \(q\)-symmetric functions arising from plethysm, Flag-symmetry of the poset of shuffles and a local action of the symmetric group, Coloring complexes and combinatorial Hopf monoids, Quasi-symmetric functions as polynomial functions on Young diagrams, Two generalizations of posets of shuffles, EL-labelings, supersolvability and 0-Hecke algebra actions on posets, A signed analog of the Birkhoff transform
