On the cohomology of an arrangement of type \(B_ l\)

DOI10.1016/0021-8693(92)90206-2zbMath0823.52011OpenAlexW1970178511MaRDI QIDQ1188139

J. Matthew Douglass

Publication date: 13 August 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90206-2

zbMATH Keywords

Weyl groupdecompositioncohomologyarrangement of hyperplanesreflections

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Representations of finite groups of Lie type (20C33)

Related Items

Cohomology of Coxeter arrangements and Solomon’s descent algebra ⋮ Bases for certain cohomology representations of the symmetric group. ⋮ Representation theory and homological stability. ⋮ A geometric approach to counting norms in cyclic extensions of function fields ⋮ \(\mathrm{FI}_{\mathcal{W}}\)-modules and constraints on classical Weyl group characters ⋮ Internal zonotopal algebras and the monomial reflection groups \(G(m,1,n)\) ⋮ Unnamed Item

Cites Work

• On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
• Combinatorics and topology of complements of hyperplanes
• Unitary reflection groups and cohomology
• Arrangements defined by unitary reflection groups
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