REPRESENTATIONS OF QUANTIZED COORDINATE ALGEBRAS VIA PBW-TYPE ELEMENTS

Oya, Hironori

doi:https://doi.org/10.18910/67750

REPRESENTATIONS OF QUANTIZED COORDINATE ALGEBRAS VIA PBW-TYPE ELEMENTS

Oya, Hironori

Osaka Journal of Mathematics, 2018, 55(1), 71-115

アクセス数:152件（2025-07-12 00:26 集計）

固定URL: https://doi.org/10.18910/67750

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タイトル	REPRESENTATIONS OF QUANTIZED COORDINATE ALGEBRAS VIA PBW-TYPE ELEMENTS
著者	著者名 Oya, Hironori
抄録	Inspired by the work of Kuniba-Okado-Yamada, we study some tensor product representations of quantized coordinate algebras of symmetrizable Kac-Moody Lie algebras in terms of quantized enveloping algebras. As a consequence, we describe structures and properties of certain reducible representations of quantized coordinate algebras. This paper includes alternative proofs of Soibelman’s tensor product theorem and Kuniba-Okado-Yamada’s common structure theorem based on our direct calculation method using global bases.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	55(1)
ページ	71-115
刊行年月	2018-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/67750
DOI	https://doi.org/10.18910/67750
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 55, Number 1 （2018-1）

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. 2018, 55(1), p. 71-115
DC.title	REPRESENTATIONS OF QUANTIZED COORDINATE ALGEBRAS VIA PBW-TYPE ELEMENTS
DC.creator	Oya, Hironori
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	2018-01
DCTERMS.abstract	Inspired by the work of Kuniba-Okado-Yamada, we study some tensor product representations of quantized coordinate algebras of symmetrizable Kac-Moody Lie algebras in terms of quantized enveloping algebras. As a consequence, we describe structures and properties of certain reducible representations of quantized coordinate algebras. This paper includes alternative proofs of Soibelman’s tensor product theorem and Kuniba-Okado-Yamada’s common structure theorem based on our direct calculation method using global bases.
DC.identifier	10.18910/67750
DC.format	67750
citation_title	REPRESENTATIONS OF QUANTIZED COORDINATE ALGEBRAS VIA PBW-TYPE ELEMENTS
citation_author	Oya, Hironori
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2018-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	55
citation_issue	1
citation_firstpage	71
citation_lastpage	115
citation_public_url	https://hdl.handle.net/11094/67750
citation_doi_detail	10.18910/67750
citation_doi	https://doi.org/10.18910/67750

REPRESENTATIONS OF QUANTIZED COORDINATE ALGEBRAS VIA PBW-TYPE ELEMENTS

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