Ziegler's Multi-Reflection Arrangements are free
classification
🧮 math.GR
math.ACmath.CO
keywords
zieglerarrangementexamplefreemulti-reflectionreflectionarrangementsassociated
read the original abstract
In 1989, Ziegler introduced the concept of a multi-arrangement. One natural example is the reflection arrangement of a unitary reflection group with multiplicity given by the number of reflections associated with each hyperplane. For all but three irreducible groups, Ziegler showed that each such multi-reflection arrangement is free. We complete Ziegler's example by confirming these outstanding cases.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.