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Suspension splittings and self-maps of flag manifolds

Suspension splittings and self-maps of flag manifolds
Suspension splittings and self-maps of flag manifolds
If G is a compact connected Lie group and T is a maximal torus, we give a wedge decomposition of ΣG/T by identifying families of idempotents in cohomology. This is used to give new information on the self-maps of G/T.
flag manifold, self-map, suspension splitting
1439-8516
445-462
Kaji, Shizuo
00d68ad1-e588-44bd-b4b1-004c81c62120
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Kaji, Shizuo
00d68ad1-e588-44bd-b4b1-004c81c62120
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

Kaji, Shizuo and Theriault, Stephen (2019) Suspension splittings and self-maps of flag manifolds. Acta Mathematica Sinica, 35 (4), 445-462. (doi:10.1007/s10114-019-8051-z).

Record type: Article

Abstract

If G is a compact connected Lie group and T is a maximal torus, we give a wedge decomposition of ΣG/T by identifying families of idempotents in cohomology. This is used to give new information on the self-maps of G/T.

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FlagDeomposition_revised - Accepted Manuscript
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More information

Accepted/In Press date: 15 June 2018
e-pub ahead of print date: 25 March 2019
Published date: April 2019
Keywords: flag manifold, self-map, suspension splitting

Identifiers

Local EPrints ID: 422306
URI: http://eprints.soton.ac.uk/id/eprint/422306
DOI: doi:10.1007/s10114-019-8051-z
ISSN: 1439-8516
PURE UUID: 68bd4a2b-fc9f-4329-b0e2-3401fbda852a
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

Catalogue record

Date deposited: 20 Jul 2018 16:31
Last modified: 06 Jun 2024 04:22

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Contributors

Author: Shizuo Kaji
Author: Stephen Theriault ORCID iD

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