Polyhedra dual to the Weyl chamber decomposition: a précis

DOI10.2977/prims/1145475449zbMath1086.14048OpenAlexW2046122011MaRDI QIDQ558622

Kyoji Saito

Publication date: 1 July 2005

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145475449

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Semialgebraic sets and related spaces (14P10)

Related Items (9)

Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ Positive Casimir and central characters of split real quantum groups ⋮ Coxeter elements for vanishing cycles of types \(A_{ \frac{1}{ 2}\infty }\) and \(D_{ \frac{1}{ 2}\infty }\) ⋮ Principal \(\Gamma\)-cone for a tree ⋮ The principal numbers of K. Saito for the types \(A_{l}, D_{l}\) and \(E_{l}\) ⋮ Limit elements in the configuration algebra for a cancellative monoid ⋮ Lyashko-Looijenga morphisms and submaximal factorizations of a Coxeter element ⋮ Parabolic category O for classical Lie superalgebras ⋮ Finite complex reflection arrangements are \(K(\pi,1)\)

Cites Work

• The complement of the bifurcation variety of a simple singularity
• Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups
• The Betti Numbers of the Simple Lie Groups
• Invariants of Finite Groups Generated by Reflections
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Polyhedra dual to the Weyl chamber decomposition: a précis