✦ LIBER ✦

On the Homological Dimension of Lattices

✍ Scribed by Roy Meshulam

Publisher: Springer Netherlands
Year: 2008
Tongue: English
Weight: 208 KB
Volume: 25
Category: Article
ISSN: 0167-8094
DOI: 10.1007/s11083-008-9086-4

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This paper gives a method for computing the reduced poset homology of the rank-selected subposet of a distributive lattice. As an example of the method, let L be the lattice S b acts on L by permuting coordinates. For S ⊆ [ab], we give a description of the decomposition of the reduced homology of L