定义克莱因曲面的克利福德行为

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-25 DOI:10.1007/s00009-024-02691-4

Ewa Tyszkowska

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引用次数: 0

摘要

我们将克莱因曲面表示为实克利福德代数的乘法子群作用下黎曼曲面的轨道空间。我们定义了所有克莱因曲面集合上的部分阶，并证明任何克莱因曲面 Y 的定义作用都可以从 Y 所属链的最小元素的定义作用归纳得到。

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Clifford Actions Defining Klein Surfaces

We represent Klein surfaces as the orbit spaces of Riemann surfaces under actions of multiplicative subgroups of real Clifford algebras. We define a partial order on the set of all Klein surfaces and we prove that the defining action of any Klein surface Y can be obtained by induction from the defining action of a minimal element of the chain to which Y belongs.

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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.