分划复形、对偶与整树表示
Partition complexes, duality and integral tree representations
摘要：
我们证明了1，2，…的非平凡分拆的偏序集n在李超代数中有系数的基本同调类。同调对偶于是迅速地给出了一系列关于对称群S_n和S_{n+1}关于这个偏序集的同调和上同调的整表示的已知结果。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
