A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES

Jacon, Nicolas; Lecouvey, Cédric

doi:https://doi.org/10.18910/26826

A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES

Jacon, Nicolas; Lecouvey, Cédric

Osaka Journal of Mathematics, 2013, 50(4), 897-920

アクセス数:168件（2025-07-13 16:42 集計）

固定URL: https://doi.org/10.18910/26826

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タイトル	A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES
著者	著者名 Jacon, Nicolas
著者	著者名 Lecouvey, Cédric
抄録	We give a simple characterization of the highest weight vertices in the crystal graph of the level l Fock spaces. This characterization is based on the notion of totally periodic symbols viewed as affine analogues of reverse lattice words classically used in the decomposition of tensor products of fundamental sl_n-modules. This yields a combinatorial decomposition of the Fock spaces in their irreducible components and the branching law for the restriction of the irreducible highest weight sl_∞-modules to sl_e.
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	897-920
刊行年月	2013-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/26826
DOI	https://doi.org/10.18910/26826
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. 897-920
DC.title	A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES
DC.creator	Jacon, Nicolas
DC.creator	Lecouvey, Cédric
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	We give a simple characterization of the highest weight vertices in the crystal graph of the level l Fock spaces. This characterization is based on the notion of totally periodic symbols viewed as affine analogues of reverse lattice words classically used in the decomposition of tensor products of fundamental sl_n-modules. This yields a combinatorial decomposition of the Fock spaces in their irreducible components and the branching law for the restriction of the irreducible highest weight sl_∞-modules to sl_e.
DC.identifier	10.18910/26826
DC.format	26826
citation_title	A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES
citation_author	Jacon, Nicolas
citation_author	Lecouvey, Cédric
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	897
citation_lastpage	920
citation_public_url	https://hdl.handle.net/11094/26826
citation_doi_detail	10.18910/26826
citation_doi	https://doi.org/10.18910/26826

A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES

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