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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

On Witten multiple zeta-functions associated with semisimple Lie algebras II

http://hdl.handle.net/2237/20065
http://hdl.handle.net/2237/20065
f3ef0a6f-e473-4fd0-b9c8-26629855a8e6
名前 / ファイル ライセンス アクション
23.pdf 23.pdf (306.5 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 52448

en Komori, Yasushi

Search repository
Matsumoto, Kohji

× Matsumoto, Kohji

WEKO 52449

en Matsumoto, Kohji

Search repository
Tsumura, Hirofumi

× Tsumura, Hirofumi

WEKO 52450

en Tsumura, Hirofumi

Search repository
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
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
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