Looijenga-Lunts-Verbitsky 代数和 Verbitsky 定理。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 Epub Date: 2022-10-03 DOI:10.1007/s00032-022-00364-z

Alessio Bottini

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引用次数: 0

摘要

在这些注释中，我们回顾了有关 LLV 列代数的一些基本事实。它是一个有理李代数，由 Looijenga-Lunts 和 Verbitsky 引入，作用于紧凑凯勒流形的有理同调。我们研究了它的结构，并描述了紧凑超凯勒流形的有理同调的一个不可还原分量。

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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The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem.

In these notes we review some basic facts about the LLV Lie algebra. It is a rational Lie algebra, introduced by Looijenga-Lunts and Verbitsky, acting on the rational cohomology of a compact Kähler manifold. We study its structure and describe one irreducible component of the rational cohomology in the case of a compact hyperkähler manifold.

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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.