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Paths, tableaux and q-characters of quantum affine algebras: the Cn case
http://hdl.handle.net/2237/10053
http://hdl.handle.net/2237/10053dc40c98a-7db4-4950-bc95-17cc903afacb
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2008-05-28 | |||||
タイトル | ||||||
タイトル | Paths, tableaux and q-characters of quantum affine algebras: the Cn case | |||||
言語 | en | |||||
著者 |
Nakai, Wakako
× Nakai, Wakako× Nakanishi, Tomoki |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
抄録 | ||||||
内容記述 | For the quantum affine algebra Uq (ˆg) with g of classical type, let χλ/μ,a be the Jacobi–Trudi-type determinant for the generating series of the (supposed) q-characters of the fundamental representations. We conjecture that χλ/μ,a is the q-character of a certain finite-dimensional representation of Uq (ˆg). We study the tableaux description of χλ/μ,a using the path method due to Gessel– Viennot. It immediately reproduces the tableau rule by Bazhanov–Reshetikhin for An and by Kuniba–Ohta–Suzuki for Bn. For Cn, we derive the explicit tableau rule for skew diagrams λ/μ of three rows and of two columns. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Institute of Physics | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0305-4470 | |||||
書誌情報 |
en : Journal of physics. A, Mathematical and theoretical 巻 39, 号 9, p. 2083-2115, 発行日 2006-03 |
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フォーマット | ||||||
application/pdf | ||||||
著者版フラグ | ||||||
値 | author | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/10053 | |||||
識別子タイプ | HDL |