REDUCED CONTRAGREDIENT LIE ALGEBRAS AND PC LIE ALGEBRAS

Sasano, Nagatoshi

doi:https://doi.org/10.18910/72320

REDUCED CONTRAGREDIENT LIE ALGEBRAS AND PC LIE ALGEBRAS

Sasano, Nagatoshi

Osaka Journal of Mathematics, 2019, 56(2), 289-299

アクセス数:177件（2025-05-02 09:52 集計）

固定URL: https://doi.org/10.18910/72320

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タイトル	REDUCED CONTRAGREDIENT LIE ALGEBRAS AND PC LIE ALGEBRAS
著者	著者名 Sasano, Nagatoshi
抄録	Using the theory of standard pentads, we can embed an arbitrary finite-dimensional reductive Lie algebra and its finite-dimensional completely reducible representation into some larger graded Lie algebra. However, it is not easy to find the structure of the “larger graded Lie algebra” from the definition in general cases. Under these, the first aim of this paper is to show that the “larger graded Lie algebra” is isomorphic to some PC Lie algebra, which are Lie algebras corresponding to special standard pentads called pentads of Cartan type. The second aim is to find the structure of a PC Lie algebra.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(2)
ページ	289-299
刊行年月	2019-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/72320
DOI	https://doi.org/10.18910/72320
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 56, Number 2 （2019-4）

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. 2019, 56(2), p. 289-299
DC.title	REDUCED CONTRAGREDIENT LIE ALGEBRAS AND PC LIE ALGEBRAS
DC.creator	Sasano, Nagatoshi
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	2019-04
DCTERMS.abstract	Using the theory of standard pentads, we can embed an arbitrary finite-dimensional reductive Lie algebra and its finite-dimensional completely reducible representation into some larger graded Lie algebra. However, it is not easy to find the structure of the “larger graded Lie algebra” from the definition in general cases. Under these, the first aim of this paper is to show that the “larger graded Lie algebra” is isomorphic to some PC Lie algebra, which are Lie algebras corresponding to special standard pentads called pentads of Cartan type. The second aim is to find the structure of a PC Lie algebra.
DC.identifier	10.18910/72320
DC.format	72320
citation_title	REDUCED CONTRAGREDIENT LIE ALGEBRAS AND PC LIE ALGEBRAS
citation_author	Sasano, Nagatoshi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	2
citation_firstpage	289
citation_lastpage	299
citation_public_url	https://hdl.handle.net/11094/72320
citation_doi_detail	10.18910/72320
citation_doi	https://doi.org/10.18910/72320

REDUCED CONTRAGREDIENT LIE ALGEBRAS AND PC LIE ALGEBRAS

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