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Log-Concavity of Whitney Numbers of Dowling Lattices

✍ Scribed by Moussa Benoumhani


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
40 KB
Volume
22
Category
Article
ISSN
0196-8858

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✦ Synopsis


We prove that the generating polynomial of Whitney numbers of the second kind of Dowling lattices has only real zeros.


πŸ“œ SIMILAR VOLUMES


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✍ Moussa Benoumhani πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 149 KB

We study some polynomials arising from Whitney numbers of the second kind of Dowling lattices. Special cases of our results include well-known identities involving Stirling numbers of the second kind. The main technique used is essentially due to Rota.

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We extend a well-known relationship between the representation of the symmetric group on the homology of the partition lattice and the free Lie algebra to Dowling lattices.