A basis for the non-crossing partition lattice top homology
نویسندگان
چکیده
منابع مشابه
A basis for the non-crossing partition lattice top homology
We find a basis for the top homology of the non-crossing partition lattice Tn . Though Tn is not a geometric lattice, we are able to adapt techniques of Björner (A. Björner, On the homology of geometric lattices. Algebra Universalis 14 (1982), no. 1, 107–128) to find a basis with Cn−1 elements that are in bijection with binary trees. Then we analyze the action of the dihedral group on this basis.
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2006
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-006-7395-5