The generalized cluster complex: refined enumeration of faces and related parking spaces
From MaRDI portal
Publication:6056586
DOI10.3842/sigma.2023.069zbMath1525.52007arXiv2209.12540OpenAlexW4298201670MaRDI QIDQ6056586
Matthieu Josuat-Vergès, Theo Douvropoulos
Publication date: 30 October 2023
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.12540
Exact enumeration problems, generating functions (05A15) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rational parking functions and Catalan numbers
- From \(m\)-clusters to \(m\)-noncrossing partitions via exceptional sequences
- Parking spaces.
- Parking structures: Fuss analogs
- Non-crossing partitions
- Refined enumeration of noncrossing chains and hook formulas
- Shellability and higher Cohen-Macaulay connectivity of generalized cluster complexes
- Conjectures on the quotient ring by diagonal invariants
- A family of affine Weyl group representations
- \(Y\)-systems and generalized associahedra
- Weyl group \(q\)-Kreweras numbers and cyclic sieving
- Combinatorics and commutative algebra.
- Invariant theory for coincidental complex reflection groups
- Noncrossing partitions, Bruhat order and the cluster complex
- Generalized cluster complexes via quiver representations.
- Defining an \(m\)-cluster category.
- On the enumeration of positive cells in generalized cluster complexes and Catalan hyperplane arrangements.
- A decomposition of the group algebra of a finite Coxeter group
- Catalan numbers for complex reflection groups
- Finite Reflection Groups
- B-Stable Ideals in the Nilradical of a Borel Subalgebra
- Faces of Generalized Cluster Complexes and Noncrossing Partitions
- Generalized noncrossing partitions and combinatorics of Coxeter groups
- Noncrossing Partitions for the GroupDn
- On a refinement of the generalized Catalan numbers for Weyl groups
- Simple analytic formula for the period of the nonlinear pendulum via the Struve function: connection to acoustical impedance matching
- Cataland: Why the Fuss?
- Foulkes characters for complex reflection groups
- Non-crossing partition lattices in finite real reflection groups
- Finite Unitary Reflection Groups
- Coxeter factorizations with generalized Jucys–Murphy weights and Matrix‐Tree theorems for reflection groups
