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The Geometry of Dowling Lattices

โœ Scribed by M.K. Bennett; K.P. Bogart; J.E. Bonin

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
953 KB
Volume
103
Category
Article
ISSN
0001-8708

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๐Ÿ“œ SIMILAR VOLUMES

On Whitney numbers of Dowling lattices
On Whitney numbers of Dowling lattices
โœ Moussa Benoumhani ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 746 KB

We give some generating functions, recurrence relations for Whitney numbers of Dowling lattices, an explicit formula for Whitney numbers of the second kind, and other relations. ## I. Introduction A finite poset (L, ~< ) is said to be a lattice if every pair of elements, x, y, has an infimum x A

Log-Concavity of Whitney Numbers of Dowl
Log-Concavity of Whitney Numbers of Dowling Lattices
โœ Moussa Benoumhani ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 40 KB

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

Cohomology of Dowling Lattices and Lie (
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โœ Eric Gottlieb; Michelle L. Wachs ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 245 KB

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.

On Some Numbers Related to Whitney Numbe
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โœ Moussa Benoumhani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.