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 50 条

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CATHELINEAU, JL
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1974, 278 (20): : 1295 - 1298
[2] ON THE CLASSIFYING SPACE OF A COMPACT CONNECTED LIE GROUP
OSSE, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (07): : 833 - 838
[3] COHOMOLOGY OF P LIE-ALGEBRAS AND NILPOTENT ELEMENTS
JANTZEN, JC
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1986, 56 : 191 - 219
[4] 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
[5] The space of commuting elements in a Lie group and maps between classifying spaces
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PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2023,
[6] CLASSIFYING SIMPLE LIE ALGEBRAS OF PRIME CHARACTERISTIC BY NILPOTENT ELEMENTS
JACOBS, JB
JOURNAL OF ALGEBRA, 1971, 19 (01) : 31 - &
[7] On the cohomology of the classifying space of a certain gauge group
Tsukuda, S
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 : 407 - 409
[8] Group rings whose symmetric elements are Lie nilpotent
Lee, GT
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (11) : 3153 - 3159
[9] COHOMOLOGY OF NILPOTENT LIE ALGEBRAS . APPLICATION TO A STUDY OF NILPOTENT LIE ALGEBRAIC VARIETIES
VERGNE, M
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1968, 267 (23): : 867 - &
[10] ON THE COHOMOLOGY OF NILPOTENT LIE-ALGEBRAS
DENINGER, C
SINGHOF, W
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1988, 116 (01): : 3 - 14

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