Factorization problems in complex reflection groups
From MaRDI portal
Publication:5075658
DOI10.4153/S0008414X2000022XzbMath1487.05024MaRDI QIDQ5075658
Alejandro H. Morales, Joel Brewster Lewis
Publication date: 11 May 2022
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
Related Items
Polynomiality of factorizations in reflection groups ⋮ Hurwitz numbers for reflection groups I: generatingfunctionology ⋮ On products of permutations with the most uncontaminated cycles by designated labels ⋮ Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some probabilistic trees with algebraic roots
- A simple model of trees for unicellular maps
- Bijections and symmetries for the factorizations of the long cycle
- On non-conjugate Coxeter elements in well-generated reflection groups
- An analogue of the Harer-Zagier formula for unicellular maps on general surfaces
- Cyclic sieving of noncrossing partitions for complex reflection groups.
- A bijective proof of Jackson's formula for the number of factorizations of a cycle
- Unitary reflection groups and cohomology
- Arrangements defined by unitary reflection groups
- The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group
- Factoring \(n\)-cycles and counting maps of given genus
- Non-crossing partitions for classical reflection groups
- Graphs on surfaces and their applications. Appendix by Don B. Zagier
- Factorizations of large cycles in the symmetric group
- A refined count of Coxeter element reflection factorizations
- Enumerative properties of generalized associahedra
- Some combinatorial problems associated with products of conjugacy classes of the symmetric group
- Direct bijective computation of the generating series for 2 and 3-connection coefficients of the symmetric group
- Factorization problems in complex reflection groups
- On enumerating factorizations in reflection groups
- Finite complex reflection arrangements are \(K(\pi,1)\)
- Formula for the reflection length of elements in the group \(G(m,p,n)\).
- Non-crossing partitions of type \((e,e,r)\).
- Comparing Codimension and Absolute Length in Complex Reflection Groups
- Counting factorizations of Coxeter elements into products of reflections
- Transitive factorizations of permutations and geometry
- Automorphisms of complex reflection groups
- Decomposition numbers for finite Coxeter groups and generalised non-crossing partitions
- Generalized noncrossing partitions and combinatorics of Coxeter groups
- Noncrossing Partitions for the GroupDn
- A PARTIAL ORDER ON THE ORTHOGONAL GROUP
- Absolute order in general linear groups
- Finite Unitary Reflection Groups
