MAT-free Reflection Arrangements
Copyright policy )MAT-free Reflection Arrangements
We introduce the class of MAT-free hyperplane arrangements which is based on the Multiple Addition Theorem by Abe, Barakat, Cuntz, Hoge, and Terao. We also investigate the closely related class of MAT2-free arrangements based on a recent generalization of the Multiple Addition Theorem by Abe and Terao. We give classifications of the irreducible complex reflection arrangements which are MAT-free respectively MAT2-free. Furthermore, we ask some questions concerning relations to other classes of free arrangements.
- Ruhr University Bochum Germany
- University of Hannover Germany
Configurations and arrangements of linear subspaces, cominatorics, reflection and coxeter groups, discrete geometry, mathematics, Reflection groups, reflection geometries, group theory, Group Theory (math.GR), algebra, Combinatorial aspects of matroids and geometric lattices, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, 51F15, 20F55, 52C35, 14N20, 05B35, 32S22, Reflection and Coxeter groups (group-theoretic aspects), Relations with arrangements of hyperplanes, MAT-free hyperplane arrangements, FOS: Mathematics, Mathematics - Combinatorics, metric geometry, Combinatorics (math.CO), MAT2-free arrangements, Mathematics - Group Theory
Configurations and arrangements of linear subspaces, cominatorics, reflection and coxeter groups, discrete geometry, mathematics, Reflection groups, reflection geometries, group theory, Group Theory (math.GR), algebra, Combinatorial aspects of matroids and geometric lattices, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, 51F15, 20F55, 52C35, 14N20, 05B35, 32S22, Reflection and Coxeter groups (group-theoretic aspects), Relations with arrangements of hyperplanes, MAT-free hyperplane arrangements, FOS: Mathematics, Mathematics - Combinatorics, metric geometry, Combinatorics (math.CO), MAT2-free arrangements, Mathematics - Group Theory
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