A vanishing theorem for hyperplane cohomology

DOI10.1017/S0004972700017111zbMath0894.20032MaRDI QIDQ4350817

Gustav Isaac Lehrer

Publication date: 7 July 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

automorphism groupshomologyhyperplane arrangementscomplex representationsfinite-dimensional vector spacescomplex reflection groupsisotropy groupsfinite orthogonal groupsOrlik-Solomon algebraslattices of intersections

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Other geometric groups, including crystallographic groups (20H15) Cohomology theory for linear algebraic groups (20G10) Reflection groups, reflection geometries (51F15)

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Cites Work

• A proof of a conjecture of Stanley concerning partitions of a set
• On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
• Combinatorics and topology of complements of hyperplanes
• Some aspects of groups acting on finite posets
• Rational tori, semisimple orbits and the topology of hyperplane complements
• The split building of a reductive group
• The l Adic Cohomology of Hyperplane Complements
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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