Nilpotent elements in the cohomology of the classifying space of a connected Lie group

被引：0

作者：

Kameko, Masaki ^{[1
]}

机构：

[1] Shibaura Inst Technol, Dept Math Sci, 307 Minuma Ku Fukasaku, Saitama 3378570, Japan

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2023年

关键词：

Classifying space; cohomology; nilpotent element; connected Lie group;

D O I：

10.1142/S1793525323500188

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11

共 23 条

[1] On the mod 2 cohomology of the classifying space of the exceptional Lie group E6
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PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2019, 95 (09) : 91 - 96
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[5] Parameter rigid actions of simply connected nilpotent Lie groups
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[6] First Space Cohomology of the Orthosymplectic Lie Superalgebra in the Lie Superalgebra of Superpseudodifferential Operators
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[7] First Space Cohomology of the Orthosymplectic Lie Superalgebra in the Lie Superalgebra of Superpseudodifferential Operators
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[8] Nilpotent elements and idempotents in commutative group rings
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[9] Cohomology of the spaces of commuting elements in Lie groups of rank two
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[10] A note on Samelson products and mod p cohomology of classifying spaces of the exceptional Lie groups
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