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Abstract
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We show that the poset of non-trivial partitions of
has a fundamental homology class with coefficients in a Lie superalgebra.
Homological duality then rapidly yields a range of known results
concerning the integral representations of the symmetric groups
and
on
the homology and cohomology of this partially-ordered set.
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Keywords
partition complex, Lie superalgebra
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Mathematical Subject Classification 2000
Primary: 05E25
Secondary: 17B60, 55P91
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Publication
Received: 17 February 2004
Accepted: 21 September 2004
Published: 22 October 2004
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