Kac-Moody algebras in Deligne's category

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-04-30 DOI:10.1016/j.jalgebra.2025.04.030

Ivan Motorin

引用次数: 0

Abstract

We generalize the notion of a Kac-Moody Lie algebra to the setting of Deligne Categories. Then we derive the Kac-Weyl formula for the category

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integrable representations for such an algebra. This paper generalizes results of A. Pakharev [12].

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Deligne范畴中的Kac-Moody代数

我们将Kac-Moody李代数的概念推广到Deligne范畴的集合。然后导出了该类代数的范畴可积表示的Kac-Weyl公式。本文推广了A. Pakharev[12]的研究结果。

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

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.