Topics in Hyperplane Arrangements

DOI10.1090/surv/226zbMath1388.14146OpenAlexW2803058183MaRDI QIDQ4599292

Marcelo Aguiar, Swapneel Mahajan

Publication date: 28 December 2017

Published in: Mathematical Surveys and Monographs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/surv/226

zbMATH Keywords

Coxeter groupscharacteristic polynomialsposetsfreenessconeslatticesdistance functionsreflection arrangementsEulerian idempotentsLoewy seriesVarchenko matricesDynkin idempotentsreal hyperplane arrangementsIncidence algebrasMoebius functionslunesTits algebrasBirkhoff algebrasBraid arrangementsdescent and lune equationshomologies and cohomologiesInvariant algebrasLie and Zie elements

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Combinatorial aspects of representation theory (05E10) Combinatorics of partially ordered sets (06A07) Semimodular lattices, geometric lattices (06C10) Algebraic aspects of posets (06A11) Configurations and arrangements of linear subspaces (14N20) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02)

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