The Dowling transform of subspace arrangements

DOI10.1006/jcta.2000.3098zbMath0962.05005OpenAlexW2163320675MaRDI QIDQ1584659

Richard Ehrenborg, Margaret A. Readdy

Publication date: 13 June 2001

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/042f3338168f287d06313144d81477df266aab1b

zbMATH Keywords

characteristic polynomialvaluationshyperplane arrangementsupersolvabilitybraid arrangementintersection latticeDowling transformframe arrangement

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (3)

Biased expansions of biased graphs and their chromatic polynomials ⋮ Nested set complexes of Dowling lattices and complexes of Dowling trees ⋮ Affine and toric hyperplane arrangements

Cites Work

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• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• On flag vectors, the dowling lattice, and braid arrangements
• Characteristic and Ehrhart polynomials
• On valuations, the characteristic polynomial, and complex subspace arrangements
• On characteristic polynomials of subspace arrangements
• Cohomology of Dowling lattices and Lie (super)algebras
• Deformations of Coxeter hyperplane arrangements
• Supersolvable frame-matroid and graphic-lift lattices
• A class of geometric lattices based on finite groups
• Supersolvable lattices
• Characteristic polynomials of subspace arrangements and finite fields
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes

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