Partition complexes, duality and integral tree representations
范畴论
2014-10-01 v1 环与代数
摘要
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 S_n and S_{n+1} on the homology and cohomology of this partially-ordered set.
引用
@article{arxiv.math/0410555,
title = {Partition complexes, duality and integral tree representations},
author = {Alan Robinson},
journal= {arXiv preprint arXiv:math/0410555},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-41.abs.html