Shi arrangements and low elements in Coxeter groups
From MaRDI portal
Publication:6591566
DOI10.1112/PLMS.12624zbMATH Open1545.2003MaRDI QIDQ6591566
Christophe Hohlweg, Alice Mark, Susanna Fishel, Matthew Dyer
Publication date: 22 August 2024
Published in: Proceedings of the London Mathematical Society. Third Series (Search for Journal in Brave)
Reflection and Coxeter groups (group-theoretic aspects) (20F55) Reflection groups, reflection geometries (51F15) Root systems (17B22) Combinatorial aspects of groups and algebras (05E16)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- On inversion sets and the weak order in Coxeter groups
- Automata, reduced words and Garside shadows in Coxeter groups.
- Small roots, low elements, and the weak order in Coxeter groups
- Imaginary cones and limit roots of infinite Coxeter groups
- Kazhdan Lusztig cells in infinite Coxeter groups
- Characterization of a free arrangement and conjecture of Edelman and Reiner
- From Anderson to zeta
- Reflection subgroups of Coxeter systems
- The conjugacy problem for Coxeter groups.
- The Kazhdan-Lusztig cells in certain affine Weyl groups
- Buildings of spherical type and finite BN-pairs
- Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
- A finiteness property and an automatic structure for Coxeter groups
- Bruhat intervals, polyhedral cones and Kazhdan-Lusztig-Stanley polynomials
- On conjugacy of abstract root bases of root systems of Coxeter groups
- Ad-nilpotent ideals of a Borel subalgebra. II.
- The dominance hierarchy in root systems of Coxeter groups.
- Cone types, automata, and regular partitions in Coxeter groups
- \(n\)-low elements and maximal rank \(k\) reflection subgroups of Coxeter groups
- Garside families in Artin-Tits monoids and low elements in Coxeter groups.
- A survey of the Shi arrangement
- Low elements and small inversion sets are in bijection in rank 3 Coxeter graphs
- Deformations of Coxeter hyperplane arrangements and their characteristic polynomials
- The Shi arrangement and the Ish arrangement
- Combinatorics of Coxeter Groups
- Automata and cells in affine Weyl groups
- Some remarks on involutions in coxeter groups
- Buildings
- Generalized noncrossing partitions and combinatorics of Coxeter groups
- ON PAIRED ROOT SYSTEMS OF COXETER GROUPS
- On the Weak Order of Coxeter Groups
- Sign Types Corresponding to an Affine Weyl Group
- On a refinement of the generalized Catalan numbers for Weyl groups
- GENERALIZED CATALAN NUMBERS, WEYL GROUPS AND ARRANGEMENTS OF HYPERPLANES
- Imaginary cone and reflection subgroups of Coxeter groups
- On the limit set of root systems of Coxeter groups acting on Lorentzian spaces
- Asymptotical Behaviour of Roots of Infinite Coxeter Groups
Related Items (1)
This page was built for publication: Shi arrangements and low elements in Coxeter groups
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6591566)