Reduced word manipulation: patterns and enumeration
From MaRDI portal
Publication:2014259
DOI10.1007/s10801-017-0752-8zbMath1368.05006arXiv1503.05205OpenAlexW2963986783MaRDI QIDQ2014259
Publication date: 10 August 2017
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.05205
partitionCatalan numberenumerationCoxeter grouppermutationpermutation patternreduced worddominant permutationcommutation class
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (8)
Intersecting principal Bruhat ideals and grades of simple modules ⋮ Forced perimeter in Elnitksy polygons ⋮ Tiling-based models of perimeter and area ⋮ Boolean intersection ideals of permutations in the Bruhat order ⋮ Rhombic tilings and Bott–Samelson varieties ⋮ Enumerating in Coxeter Groups (Survey) ⋮ The range of repetition in reduced decompositions ⋮ Properties of the Edelman-Greene bijection
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coincidental pattern avoidance
- Permutation patterns, Stanley symmetric functions, and generalized Specht modules
- Upper bounds for the Stanley-Wilf limit of 1324 and other layered patterns
- Mesh patterns and the expansion of permutation statistics as sums of permutation patterns
- Patterns in permutations and words.
- Pattern avoidance and Boolean elements in the Bruhat order on involutions
- Homotopy type of the Boolean complex of a Coxeter system.
- On the number of reduced decompositions of elements of Coxeter groups
- Some combinatorial properties of Schubert polynomials
- Rhombic tilings of polygons and classes of reduced words in Coxeter groups
- Exact enumeration of 1342-avoiding permutations: A close link with labeled trees and planar maps
- Permutations which are the union of an increasing and a decreasing subsequence
- Regular closed sets of permutations.
- Bruhat intervals of length 4 in Weyl groups.
- Classification of forbidden subsequences of length 4
- Pattern avoidance and the Bruhat order.
- Reduced decompositions and permutation patterns
- Some open problems on permutation patterns
- Combinatorics of Coxeter Groups
- Catalan Numbers
- Restricted permutations
This page was built for publication: Reduced word manipulation: patterns and enumeration
