FOLDINGS AND TWO-SIDED TILTING COMPLEXES FOR BRAUER TREE ALGEBRAS

アクセス数:66件（2024-04-25 00:18 集計）

固定URL: https://doi.org/10.18910/71140

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タイトル	FOLDINGS AND TWO-SIDED TILTING COMPLEXES FOR BRAUER TREE ALGEBRAS
著者	著者名 Kozakai, Yuta
抄録	In this note, for a Brauer tree algebra A and a star-shaped Brauer tree algebra B which is derived equivalent to A, we give operations on the two-sided tilting complex D_T of A ⊗ B^<op>-modules constructed in [3] which is isomorphic to the Rickard tree-to-star complex T constructed in [5] in D^b(A), and we show that the operations on D_T correspond to operations called foldings on the Rickard tree-to-star complex T given in [7].
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(1)
ページ	133-164
刊行年月	2019-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/71140
DOI	https://doi.org/10.18910/71140
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 1 （2019-1）

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. 2019, 56(1), p. 133-164
DC.title	FOLDINGS AND TWO-SIDED TILTING COMPLEXES FOR BRAUER TREE ALGEBRAS
DC.creator	Kozakai, Yuta
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	2019-01
DCTERMS.abstract	In this note, for a Brauer tree algebra A and a star-shaped Brauer tree algebra B which is derived equivalent to A, we give operations on the two-sided tilting complex D_T of A ⊗ B^<op>-modules constructed in [3] which is isomorphic to the Rickard tree-to-star complex T constructed in [5] in D^b(A), and we show that the operations on D_T correspond to operations called foldings on the Rickard tree-to-star complex T given in [7].
DC.identifier	10.18910/71140
DC.format	application/pdf
citation_title	FOLDINGS AND TWO-SIDED TILTING COMPLEXES FOR BRAUER TREE ALGEBRAS
citation_author	Kozakai, Yuta
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	1
citation_firstpage	133
citation_lastpage	164
citation_public_url	https://hdl.handle.net/11094/71140
citation_doi_detail	10.18910/71140
citation_doi	https://doi.org/10.18910/71140