Geodesic
Partition complexes, duality and integral tree representations
Robinson, Alan1
1Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 943-960
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We show that the poset of non-trivial partitions of {1,2,…,n} 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 Σn and Σn+1 on the homology and cohomology of this partially-ordered set.

DOI : 10.2140/agt.2004.4.943
Keywords: partition complex, Lie superalgebra

Robinson, Alan  1

1 Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom 
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Robinson, Alan. Partition complexes, duality and integral tree representations. Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 943-960. doi: 10.2140/agt.2004.4.943

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