EQUIVARIANT MAPS BETWEEN REPRESENTATION SPHERES OF CYCLIC p-GROUPS

Ohashi, Ko

doi:https://doi.org/10.18910/67005

EQUIVARIANT MAPS BETWEEN REPRESENTATION SPHERES OF CYCLIC p-GROUPS

Ohashi, Ko

Osaka Journal of Mathematics, 2017, 54(4), 647-659

アクセス数:70件（2025-07-10 02:05 集計）

固定URL: https://doi.org/10.18910/67005

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タイトル	EQUIVARIANT MAPS BETWEEN REPRESENTATION SPHERES OF CYCLIC p-GROUPS
著者	著者名 Ohashi, Ko
抄録	This paper deals with necessary conditions for the existence of equivariant maps between the unit spheres of unitary representations of a cyclic p-group G. T. Bartsch gave a necessary condition for some unitary representations of G by using equivariant K-theory. We give two necessary conditions following Bartsch’s approach. One is a generalization of Bartsch’s result for any unitary representation of G which does not contain the trivial representation. The other is a stronger necessary condition for some special cases.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	54(4)
ページ	647-659
刊行年月	2017-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/67005
DOI	https://doi.org/10.18910/67005
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 54, Number 4 （2017-10）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2017, 54(4), p. 647-659
DC.title	EQUIVARIANT MAPS BETWEEN REPRESENTATION SPHERES OF CYCLIC p-GROUPS
DC.creator	Ohashi, Ko
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2017-10
DCTERMS.abstract	This paper deals with necessary conditions for the existence of equivariant maps between the unit spheres of unitary representations of a cyclic p-group G. T. Bartsch gave a necessary condition for some unitary representations of G by using equivariant K-theory. We give two necessary conditions following Bartsch’s approach. One is a generalization of Bartsch’s result for any unitary representation of G which does not contain the trivial representation. The other is a stronger necessary condition for some special cases.
DC.identifier	10.18910/67005
DC.format	67005
citation_title	EQUIVARIANT MAPS BETWEEN REPRESENTATION SPHERES OF CYCLIC p-GROUPS
citation_author	Ohashi, Ko
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2017-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	54
citation_issue	4
citation_firstpage	647
citation_lastpage	659
citation_public_url	https://hdl.handle.net/11094/67005
citation_doi_detail	10.18910/67005
citation_doi	https://doi.org/10.18910/67005

EQUIVARIANT MAPS BETWEEN REPRESENTATION SPHERES OF CYCLIC p-GROUPS

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