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

Yasushi Komori; Kohji Matsumoto; Hirofumi Tsumura

首页> 外文期刊>Journal of the Mathematical Society of Japan >On Witten multiple zeta-functions associated with semisimple Lie algebras II

【24h】

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

机译：在Witten上与半简单李代数II相关的多个zeta函数

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

This is a continuation of our previous result, in which properties of multiple zeta-functions associated with simple Lie algebras of A_r 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 B_r, C_r, and D_r types.

机译：这是我们先前结果的延续，其中已经研究了与A_r型简单李代数相关的多个zeta函数的性质。在本文中，我们考虑了更一般的情况，并讨论了我们理论的李理论背景结构。我们在根集合的zeta函数族中显示递归结构，这可以通过根之间的顺序关系来解释。我们还指出，可以用Dynkin图描述递归结构。然后，我们证明了与B_r，C_r和D_r类型的简单李代数相关的zeta函数的几种解析性质。

著录项

来源
《Journal of the Mathematical Society of Japan》 |2010年第2期|p.355-394|共40页
作者
Yasushi Komori; Kohji Matsumoto; Hirofumi Tsumura;
展开▼
作者单位

Graduate School of Mathematics Nagoya University Chikusa-ku Nagoya 464-8602, Japan Department of Mathematics Rikkyo University Nishi-Ikebukuro, Toshima-ku Tokyo 171-8501, Japan;

Graduate School of Mathematics Nagoya University Chikusa-ku Nagoya 464-8602, Japan;

Department of Mathematics and Information Sciences Tokyo Metropolitan University 1-1, Minami-Ohsawa, Hachioji Tokyo 192-0397, Japan;

展开▼
收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
witten zeta-functions; root systems; lie algebras; Bernoulli polynomials;

机译：witten zeta函数;根系统;代数伯努利多项式;

相似文献

外文文献
中文文献
专利

1. ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS V [J] . Komori Yasushi, Matsumoto Kohji, Tsumura Hirofumi Glasgow Mathematical Journal . 2015,第Pta1期

机译：与半简单李代数V相关的WITTEN多重ZETA函数
2. ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV [J] . YASUSHI KOMORI∗ KOHJI MATSUMOTO and HIROFUMI TSUMURA Glasgow Mathematical Journal . 2011,第1期

机译：半简单李代数相关的Witten多重ZETA函数IV
3. ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV [J] . KOMORI YASUSHI, MATSUMOTO KOHJI, TSUMURA HIROFUMI Glasgow Mathematical Journal . 2011,第1期

机译：半简单李代数相关的Witten多重ZETA函数IV
4. SMALL SEMISIMPLE SUBALGEBRAS OF SEMISIMPLE LIE ALGEBRAS [C] . JEB F. WILLENBRING, GREGG J. ZUCKERMAN International Conference on Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory . 2007

机译：SemicleImple Lie代数的小半组亚峰
5. Resolving multiplicities in the tensor product of irreducible representations of semisimple Lie algebras. [D] . Brooke, David John. 2008

机译：解决半单李代数不可约表示的张量积中的多重性。
6. Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras [O] . Dietrich Burde, Vsevolod Gubarev -1

机译：半简单李代数上的Rota–Baxter算子和后李代数结构
7. On Witten multiple zeta-functions associated with semisimple Lie algebras III [O] . Komori, Yasushi, Matsumoto, Kohji, Tsumura, Hirofumi 2009

机译：关于与半单Lie相关的多个zeta函数代数三

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

摘要

著录项

相似文献

相关主题

期刊订阅