Oriented matroid structures from realized root systems

DOI10.1007/s10801-020-00949-0zbMath1467.05026arXiv1710.04109OpenAlexW3035339746MaRDI QIDQ2038897

Weijia Wang, Matthew J. Dyer

Publication date: 7 July 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04109

zbMATH Keywords

Coxeter grouproot systemoriented matroidaffine Weyl group

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Embeddings of root systems. I: Root systems over commutative rings.
• Reflection subgroups of Coxeter systems
• The conjugacy problem for Coxeter groups.
• Large convex sets in oriented matroids
• Oriented matroids
• A note on subgroups generated by reflections in Coxeter groups
• Normalizers of parabolic subgroups in Coxeter groups
• On conjugacy of abstract root bases of root systems of Coxeter groups
• Groups with a root group datum.
• NONORTHOGONAL GEOMETRIC REALIZATIONS OF COXETER GROUPS
• Combinatorics of Coxeter Groups
• Reflection subgroups of finite and affine Weyl groups
• On Infinite Root Systems
• On the Weak Order of Coxeter Groups
• Oriented Matroids
• On Centralizers of Reflections in Coxeter Groups

This page was built for publication: Oriented matroid structures from realized root systems