THE DYNKIN INDEX AND CONFORMALLY INVARIANT SYSTEMS ASSOCIATED TO PARABOLIC SUBALGEBRAS OF HEISENBERG TYPE

Kubo, Toshihisa

doi:https://doi.org/10.18910/29205

THE DYNKIN INDEX AND CONFORMALLY INVARIANT SYSTEMS ASSOCIATED TO PARABOLIC SUBALGEBRAS OF HEISENBERG TYPE

Kubo, Toshihisa

Osaka Journal of Mathematics, 2014, 51(2), 359-373

アクセス数:126件（2025-05-11 18:09 集計）

固定URL: https://doi.org/10.18910/29205

閲覧可能ファイル

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm51_02_359	pdf	なし	245 KB	71	2014.05.13

論文情報

ファイル出力 EndNote Basic出力 Mendeley出力

タイトル	THE DYNKIN INDEX AND CONFORMALLY INVARIANT SYSTEMS ASSOCIATED TO PARABOLIC SUBALGEBRAS OF HEISENBERG TYPE
著者	著者名 Kubo, Toshihisa
抄録	Barchini, Kable, and Zierau constructed a number of conformally invariant systems of differential operators associated to parabolic subalgebras of Heisenberg type. When they constructed such systems of operators, two constants, which play a role for the construction, were defined as the constants of proportionality between two expressions. In this paper we give concrete and uniform expressions for these constants. To do so we introduce a new constant inspired by a formula on the Dynkin index of a finite dimensional representation of a complex simple Lie algebra.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	51(2)
ページ	359-373
刊行年月	2014-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/29205
DOI	https://doi.org/10.18910/29205
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 51, Number 2　(2014-4）

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. 2014, 51(2), p. 359-373
DC.title	THE DYNKIN INDEX AND CONFORMALLY INVARIANT SYSTEMS ASSOCIATED TO PARABOLIC SUBALGEBRAS OF HEISENBERG TYPE
DC.creator	Kubo, Toshihisa
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	2014-04
DCTERMS.abstract	Barchini, Kable, and Zierau constructed a number of conformally invariant systems of differential operators associated to parabolic subalgebras of Heisenberg type. When they constructed such systems of operators, two constants, which play a role for the construction, were defined as the constants of proportionality between two expressions. In this paper we give concrete and uniform expressions for these constants. To do so we introduce a new constant inspired by a formula on the Dynkin index of a finite dimensional representation of a complex simple Lie algebra.
DC.identifier	10.18910/29205
DC.format	29205
citation_title	THE DYNKIN INDEX AND CONFORMALLY INVARIANT SYSTEMS ASSOCIATED TO PARABOLIC SUBALGEBRAS OF HEISENBERG TYPE
citation_author	Kubo, Toshihisa
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2014-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	51
citation_issue	2
citation_firstpage	359
citation_lastpage	373
citation_public_url	https://hdl.handle.net/11094/29205
citation_doi_detail	10.18910/29205
citation_doi	https://doi.org/10.18910/29205

THE DYNKIN INDEX AND CONFORMALLY INVARIANT SYSTEMS ASSOCIATED TO PARABOLIC SUBALGEBRAS OF HEISENBERG TYPE

閲覧可能ファイル

論文情報

論文詳細を表示