REPRESENTATIONS OF QUANTIZED COORDINATE ALGEBRAS VIA PBW-TYPE ELEMENTS

Oya, Hironori

doi:info:doi/10.18910/67750

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タイトル	REPRESENTATIONS OF QUANTIZED COORDINATE ALGEBRAS VIA PBW-TYPE ELEMENTS
著者	Oya, Hironori 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	55
号	1
開始ページ	71
終了ページ	115
刊行年月	2018-01
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/67750
言語	英語
DOI	info:doi/10.18910/67750
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）

著者版フラグ	publisher
NII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.55(1) P.71-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2018-01
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/67750
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	info:doi/10.18910/67750
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/67750
citation_doi	info:doi/10.18910/67750

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