EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS

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

doi:https://doi.org/10.18910/26825

EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS

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

Osaka Journal of Mathematics, 2013, 50(4), 1039-1072

アクセス数:180件（2025-07-11 09:10 集計）

固定URL: https://doi.org/10.18910/26825

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タイトル	EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS
著者	著者名 Azam, Saeid
	著者名 Hosseini, S. Reza
	著者名 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.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(4)
ページ	1039-1072
刊行年月	2013-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/26825
DOI	https://doi.org/10.18910/26825
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 50, Number 4　(2013-12）

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. 2013, 50(4), p. 1039-1072
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
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-12
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	10.18910/26825
DC.format	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_public_url	https://hdl.handle.net/11094/26825
citation_doi_detail	10.18910/26825
citation_doi	https://doi.org/10.18910/26825

EXTENDED AFFINIZATION OF INVARIANT AFFINE REFLECTION ALGEBRAS

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