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On Witten multiple zeta-functions associated with semisimple Lie algebras II
http://hdl.handle.net/2237/20065
http://hdl.handle.net/2237/20065f3ef0a6f-e473-4fd0-b9c8-26629855a8e6
名前 / ファイル | ライセンス | アクション |
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23.pdf (306.5 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2014-06-02 | |||||
タイトル | ||||||
タイトル | On Witten multiple zeta-functions associated with semisimple Lie algebras II | |||||
言語 | en | |||||
著者 |
Komori, Yasushi
× Komori, Yasushi× Matsumoto, Kohji× Tsumura, Hirofumi |
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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 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Witten zeta-functions | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | root systems | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Lie algebras | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Bernoulli polynomials | |||||
抄録 | ||||||
内容記述 | This is a continuation of our previous result, in which properties of multiple zeta-functions associated with simple Lie algebras of Ar type have been studied. In the present paper we consider more general situation, and discuss the Lie theoretic background structure of our theory. We show a recursive structure in the family of zeta-functions of sets of roots, which can be explained by the order relation among roots. We also point out that the recursive structure can be described in terms of Dynkin diagrams. Then we prove several analytic properties of zeta-functions associated with simple Lie algebras of Br, Cr, and Dr types. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | ja | |||||
出版者 | 日本数学会 | |||||
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 | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.2969/jmsj/06220355 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0025-5645 | |||||
書誌情報 |
Journal of the Mathematical Society of Japan 巻 62, 号 2, p. 355-394, 発行日 2010-05 |
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著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://dx.doi.org/10.2969/jmsj/06220355 | |||||
識別子タイプ | DOI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/20065 | |||||
識別子タイプ | HDL |