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

Access to Document

10.1016/S0166-8641(01)00260-7

Cite this

@article{d30950a80ed0433d9adf394893741518,

title = "Stable splittings of classifying spaces of 2-toral compact Lie groups",

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.",

keywords = "Classifying spaces, Compact Lie groups, Stable splittings",

author = "Lee, \{Hyang Sook\}",

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.",

year = "2002",

month = oct,

day = "30",

doi = "10.1016/S0166-8641(01)00260-7",

language = "English",

volume = "125",

pages = "73--85",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Stable splittings of classifying spaces of 2-toral compact Lie groups

AU - Lee, Hyang Sook

N1 - 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.

PY - 2002/10/30

Y1 - 2002/10/30

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.

KW - Classifying spaces

KW - Compact Lie groups

KW - Stable splittings

UR - https://www.scopus.com/pages/publications/0038351959

U2 - 10.1016/S0166-8641(01)00260-7

DO - 10.1016/S0166-8641(01)00260-7

M3 - Article

AN - SCOPUS:0038351959

SN - 0166-8641

VL - 125

SP - 73

EP - 85

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

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

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this