The Hodge Structure on a Filtered Boolean Algebra
نویسندگان
چکیده
منابع مشابه
The Hodge Structure on a Filtered Boolean Algebra
Let (Bn) be the order complex of the Boolean algebra and let B(n, k) be the part of (Bn) where all chains have a gap at most k between each set. We give an action of the symmetric group Sl on the l-chains that gives B(n, k) a Hodge structure and decomposes the homology under the action of the Eulerian idempontents. The Sn action on the chains induces an action on the Hodge pieces and we derive ...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2004
ISSN: 0925-9899
DOI: 10.1023/b:jaco.0000047293.97371.a2