3 citations · 3 across the 2 of their papers we have counts for
4 papers
Nice reflection arrangements
Torsten Hoge, Gerhard Roehrle
The aim of this note is a classification of all nice and all inductively factored reflection arrangements. It turns out that apart from the supersolvable instances only the monomia…
Free but not recursively free arrangements
Michael Cuntz, Torsten Hoge
We construct counterexamples to the conjecture that every free arrangement is recursively free in characteristic zero. The intersection lattice of our smallest example has a realiz…
On inductively free reflection arrangements
Torsten Hoge, Gerhard Roehrle
Suppose that W is a finite, unitary reflection group acting on the complex vector space V. Let A = A(W) be the associated hyperplane arrangement of W. Terao has shown that each suc…
A presentation of the trace algebra of three 3x3 matrices
Torsten Hoge
The trace algebra C_{nd} is generated by all traces of products of d generic n x n matrices. Minimal generating sets of C_{nd} and their defining relations are known for n < 3 and…