A geometric interpretation of the characteristic polynomial of reflection arrangements

DOI10.1090/S0002-9939-10-10369-4zbMath1208.51008arXiv0906.2208OpenAlexW2963027585WikidataQ57566419 ScholiaQ57566419MaRDI QIDQ3581109

Mathias Drton, Caroline J. Klivans

Publication date: 16 August 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2208

zbMATH Keywords

characteristic polynomialCoxeter grouphyperplane arrangementreflection group

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Finite partial geometries (general), nets, partial spreads (51E14) Reflection groups, reflection geometries (51F15)

Related Items

Coxeter arrangements in three dimensions, Convex hulls of random walks, hyperplane arrangements, and Weyl chambers, Conic intrinsic volumes of Weyl chambers, An identity for the coefficients of characteristic polynomials of hyperplane arrangements, Projection volumes of hyperplane arrangements, Euclidean matchings and minimality of hyperplane arrangements, Contraction and uniform convergence of isotonic regression, Conical tessellations associated with Weyl chambers

Uses Software

• polymake
• coxeter

Cites Work

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• Constrained Statistical Inference
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• Finite Unitary Reflection Groups
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