EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS

Azam, Saeid; Hosseini, S. Reza; Yousofzadeh, Malihe

doi:info:doi/10.18910/26825

このアイテムのアクセス数:67件（2018-09-19 18:35 集計）

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タイトル	EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS
著者	Azam, Saeid Azam, Saeid
	Hosseini, S. Reza Hosseini, S. Reza
	Yousofzadeh, Malihe Yousofzadeh, Malihe
抄録	The class of invariant affine reflection algebras is the most general known extension of the class of affine Kac--Moody Lie algebras, introduced in 2008. We develop a method known as ``affinization'' for the class of invariant affine reflection algebras, and show that starting from an algebra belonging to this class together with a certain finite order automorphism, and applying the so called ``affinization method'', we obtain again an invariant affine reflection algebra. This can be considered as an important step towards the realization of invariant affine reflection algebras.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	50
号	4
開始ページ	1039
終了ページ	1072
刊行年月	2013-12
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/26825
言語	英語
DOI	info:doi/10.18910/26825

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.50(4) P.1039-P.1072
DC.title	EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS
DC.creator	Azam, Saeid
	Hosseini, S. Reza
	Yousofzadeh, Malihe
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2013-12
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/26825
DCTERMS.abstract	The class of invariant affine reflection algebras is the most general known extension of the class of affine Kac--Moody Lie algebras, introduced in 2008. We develop a method known as ``affinization'' for the class of invariant affine reflection algebras, and show that starting from an algebra belonging to this class together with a certain finite order automorphism, and applying the so called ``affinization method'', we obtain again an invariant affine reflection algebra. This can be considered as an important step towards the realization of invariant affine reflection algebras.
DC.identifier	info:doi/10.18910/26825
citation_title	EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS
citation_author	Azam, Saeid
	Hosseini, S. Reza
	Yousofzadeh, Malihe
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	4
citation_firstpage	1039
citation_lastpage	1072
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/26825
citation_doi	info:doi/10.18910/26825

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