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arXiv 1202.6459math.AT
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外尔群不变量

Weyl group invariants

Masaki Kameko, Mamoru Mimura

摘要:

对任意奇素数$p$,证明了从紧致单连通单连通李群的分类空间的模$p$上同调到其极大环面的分类空间的模$p$上同调的外尔群不变量的诱导同态是满同态,但$p=3$,$G=E_8$除外.

英文摘要:

For any odd prime $p$, we prove that the induced homomorphism from the mod $p$ cohomology of the classifying space of a compact simply-connected simple connected Lie group to the Weyl group invariants of the mod $p$ cohomology of the classifying space of its maximal torus is an epimorphism except for the case $p=3$, $G=E_8$.

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。

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