Nilpotent elements in the cohomology of the classifying space of a connected Lie group
Masaki Kameko
本文研究了连通李群分类空间的模2上同调环中幂零元的存在性，给出了秩最低的紧连通李群的例子。
我们给出了一个紧连通李群，其秩最低，其分类空间模2上同调环中存在非零幂零元的例子。
We give an example of a compact connected Lie group of the lowest rank such that the mod 2 cohomology ring of its classifying space has a nonzero nilpotent element.
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This thesis consists of two main parts. In the second part, we recall how a description of local coefficients that Eilenberg introduced in the 1940s leads to spectral sequences for the computation of homology and cohomology with local coefficients. We then show how to construct new equivariant analogues of these spectral sequences for RO(G)-graded Bredon homology and cohomology. Finally, we use these spectral sequences to complete a sample calculation, in which we use the equivariant Serre spectral sequence and the equivariant cohomology of complex projective spaces to compute the cohomology o…
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本文引入子群族的有界 Bredon 上同调，推广有界上同调，并给出相对可遗性与相对双曲性的上同调刻画。
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