A class of lattices with Möbius function \(\pm 1,0\)

DOI10.1016/S0195-6698(88)80013-1zbMath0665.06007OpenAlexW2039551466MaRDI QIDQ1115893

Curtis Greene

Publication date: 1988

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(88)80013-1

zbMATH Keywords

lattices generated by a family of intervals in a linear orderMöbius function of the lattice of integer partitions, ordered by majorization

Mathematics Subject Classification ID

Partial orders, general (06A06) Factorials, binomial coefficients, combinatorial functions (05A10) Lattices (06B99)

Related Items (11)

On lattices with Möbius function \(\pm 1,0\) ⋮ Möbius functions of lattices ⋮ \(SB\)-labelings and posets with each interval homotopy equivalent to a sphere or a ball ⋮ Combinatorics \(\&\) topology of stratifications of the space of monic polynomials with real coefficients ⋮ Chop vectors and the lattice of integer partitions ⋮ Unnamed Item ⋮ Shellable nonpure complexes and posets. II ⋮ The Möbius function of factor order ⋮ Why the characteristic polynomial factors ⋮ The partial order of dominant weights ⋮ An application of the Goulden-Jackson cluster theorem

Cites Work

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• PIE-sums: A combinatorial tool for partition theory
• Bijective proofs of some classical partition identities
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• The lattice of integer partitions
• Incidence matrices and interval graphs
• Möbius inversion for the Bruhat ordering on a Weyl group
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• Inequalities: theory of majorization and its applications

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