Stable splittings of classifying spaces of 2-toral compact Lie groups

Hyang Sook Lee

doi:10.1016/S0166-8641(01)00260-7

Stable splittings of classifying spaces of 2-toral compact Lie groups

Hyang Sook Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let G be a compact Lie group and H be a p-toral subgroup of G. In this paper, we give a necessary and sufficient condition for a summand originating BH_p̂ to be a summand of BG_p̂ and also give the corresponding multiplicity for the compact Lie group G which is not even p-Roquette.

Original language	English
Pages (from-to)	73-85
Number of pages	13
Journal	Topology and its Applications
Volume	125
Issue number	1
DOIs	https://doi.org/10.1016/S0166-8641(01)00260-7
State	Published - 30 Oct 2002

Bibliographical note

Funding Information:
E-mail address: [email protected] (H.-S. Lee). 1The author was supported by KOSEF 97-0701-02-01-5 and Brain Korea 21 Project.

Keywords

Classifying spaces
Compact Lie groups
Stable splittings

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10.1016/S0166-8641(01)00260-7

Cite this

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abstract = "Let G be a compact Lie group and H be a p-toral subgroup of G. In this paper, we give a necessary and sufficient condition for a summand originating BH{\^p} to be a summand of BG{\^p} and also give the corresponding multiplicity for the compact Lie group G which is not even p-Roquette.",

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N2 - Let G be a compact Lie group and H be a p-toral subgroup of G. In this paper, we give a necessary and sufficient condition for a summand originating BHp̂ to be a summand of BGp̂ and also give the corresponding multiplicity for the compact Lie group G which is not even p-Roquette.

AB - Let G be a compact Lie group and H be a p-toral subgroup of G. In this paper, we give a necessary and sufficient condition for a summand originating BHp̂ to be a summand of BGp̂ and also give the corresponding multiplicity for the compact Lie group G which is not even p-Roquette.

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KW - Stable splittings

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Stable splittings of classifying spaces of 2-toral compact Lie groups

Abstract

Bibliographical note

Keywords

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