A Hopf algebra of subword complexes
From MaRDI portal
Publication:340441
DOI10.1016/j.aim.2016.10.007zbMath1359.16029arXiv1508.01465OpenAlexW2203575115MaRDI QIDQ340441
Cesar Ceballos, Nantel Bergeron
Publication date: 14 November 2016
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.01465
Related Items
\(\nu\)-Tamari lattices via subword complexes ⋮ On the cancellation-free antipode formula for the Malvenuto-Reutenauer Hopf algebra ⋮ Hopf dreams and diagonal harmonics ⋮ Universal oriented matroids for subword complexes of Coxeter groups ⋮ Antipodes and involutions ⋮ The antipode of linearized Hopf monoids ⋮ The antipode of linearized Hopf monoids ⋮ The \(\nu \)-Tamari lattice via \(\nu \)-trees, \( \nu \)-bracket vectors, and subword complexes ⋮ Hypergraphic polytopes: combinatorial properties and antipode
Cites Work
- Unnamed Item
- Unnamed Item
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- Brick manifolds and toric varieties of brick polytopes
- Associahedra, Tamari lattices and related structures. Tamari memorial Festschrift
- The brick polytope of a sorting network
- Maximal fillings of Moon polyominoes, simplicial complexes, and Schubert polynomials
- Multitriangulations, pseudotriangulations and primitive sorting networks
- Antipodes and involutions
- A new perspective on \(k\)-triangulations
- Permutahedra and generalized associahedra.
- Gröbner geometry of Schubert polynomials
- Cluster algebras of type \(D\): pseudotriangulations approach
- Reflection subgroups of Coxeter systems
- Cambrian fans.
- Multitriangulations as complexes of star polygons
- Type-B generalized triangulations and determinantal ideals
- Hopf algebra of the planar binary trees
- Cluster algebras. II: Finite type classification
- \(Y\)-systems and generalized associahedra
- Subword complexes via triangulations of root polytopes
- Canonical characters on quasi-symmetric functions and bivariate Catalan numbers
- Subword complexes in Coxeter groups.
- On posets and Hopf algebras
- Brick polytopes of spherical subword complexes and generalized associahedra
- Fan realizations of type \(A\) subword complexes and multi-associahedra of rank 3
- Many non-equivalent realizations of the associahedron
- Subword complexes, cluster complexes, and generalized multi-associahedra
- Hopf algebras and Markov chains: two examples and a theory
- Cambrian lattices.
- Free Hopf algebras generated by coalgebras
- Generalized triangulations and diagonal-free subsets of stack polyominoes
- Cluster algebras I: Foundations
- The Incidence Hopf Algebra of Graphs
- Combinatorics of Coxeter Groups
- Sortable elements in infinite Coxeter groups
- Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
- Clusters, Coxeter-sortable elements and noncrossing partitions
- Generalized associahedra via quiver representations
- Cataland: Why the Fuss?
- Denominator vectors and compatibility degrees in cluster algebras of finite type
- Homotopy Associativity of H-Spaces. I
