A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES

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タイトル	A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES
著者	Jacon, Nicolas Jacon, Nicolas
著者	Lecouvey, Cédric 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.
掲載誌名	Osaka Journal of Mathematics
巻	50
号	4
開始ページ	897
終了ページ	920
刊行年月	2013-12
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/26826
言語	英語
DOI	info:doi/10.18910/26826
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）

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.897-P.920
DC.title	A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES
DC.creator	Jacon, Nicolas
DC.creator	Lecouvey, Cédric
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2013-12
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/26826
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	info:doi/10.18910/26826
citation_title	A COMBINATORIAL DECOMPOSITION OF HIGHER LEVEL FOCK SPACES
citation_author	Jacon, Nicolas
citation_author	Lecouvey, Cédric
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/26826
citation_doi	info:doi/10.18910/26826