On the SL(2,ℂ) quantum 6j-symbols and their relation to the hyperbolic volume

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2013-07-02 DOI:10.4171/QT/41

F. Costantino, J. Murakami

引用次数: 20

Abstract

We generalize the colored Alexander invariant of knots to an invariant of graphs and we construct a face model for this invariant by using the corresponding 6j -symbols, which come from the non-integral representations of the quantum group Uq.sl2/. We call it the SL.2; C/-quantum 6j -symbols, and show their relation to the hyperbolic volume of a truncated tetrahedron. Mathematics Subject Classification (2010). Primary 46L37; Secondary 46L54, 82B99.

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SL(2，)量子6j符号及其与双曲体积的关系

我们将结点的彩色Alexander不变量推广到图的不变量，并利用量子群Uq.sl2/的非积分表示中相应的6j -符号构造了该不变量的面模型。我们称之为sl - 2;C/-量子6j -符号，并展示了它们与截断四面体双曲体积的关系。数学学科分类(2010)。主要46 l37;二级46L54, 82B99。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.