张量积分类，Verma模和blob 2类

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-05-13 DOI:10.4171/QT/156

Abel Lacabanne, Gr'egoire Naisse, P. Vaz

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引用次数: 6

摘要

我们构造了Webster张量积代数的一个g-增强，对一个泛sl2 Verma模和几个可积不可约模的张量积进行了分类。在可积模为二维的情况下，我们证明了blob代数通过内函子作用于这类dg增强代数的派生范畴。这个动作与sl2的直言动作交织在一起。由此，我们导出了blob代数的一个分类。

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Tensor product categorifications, Verma modules and the blob 2-category

We construct a dg-enhancement of Webster's tensor product algebras that categorifies the tensor product of a universal sl2 Verma module and several integrable irreducible modules. We show that the blob algebra acts via endofunctors on derived categories of such dg-enhanced algebras in the case when the integrable modules are two-dimensional. This action intertwines with the categorical action of sl2. From the above we derive a categorification of the blob algebra.

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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.