李超代数𝔤𝔩m|n的双延代数和反射代数

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-13 DOI:10.1142/s021919972450007x

Lucia Bagnoli, Slaven Kožić

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引用次数: 0

摘要

我们研究了与李超代数𝔤𝔩m|n相关的双杨式。我们的主要重点是建立双杨式的波恩卡莱-伯克霍夫-维特定理，并以量子收缩系数的形式构造其中心元。接下来，作为一个应用，我们引入了反射代数，即 0 级双扬格的某些左协元子代数，并通过生成器和关系找到了它们的呈现形式。

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Double Yangian and reflection algebras of the Lie superalgebra 𝔤𝔩m|n

We study the double Yangian associated with the Lie superalgebra ${𝔤 𝔩}_{m | n}$ . Our main focus is on establishing the Poincaré–Birkhoff–Witt Theorem for the double Yangian and constructing its central elements in the form of coefficients of the quantum contraction. Next, as an application, we introduce reflection algebras, certain left coideal subalgebras of the level 0 double Yangian, and find their presentations by generators and relations.

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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.