论例外情况下酉最高权模的分类

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-07-28 DOI:10.1016/j.jalgebra.2025.07.018

Pavle Pandžić , Ana Prlić , Gordan Savin , Vladimír Souček , Vít Tuček

引用次数: 0

摘要

在我们之前的论文[12]中，我们利用Dirac不等式和PRV积给出了李群Sp(2n，R), so_ （2n）和SU（p,q）的泛盖的酉最高权模的完整分类。在本文中，我们完成了剩余情况下的酉最高权模块的分类；即李群SOe（2,n）、E6（−14）和E7（−25）的泛覆盖。我们还用给定的无穷小字符描述了酉最大权模。

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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On the classification of unitary highest weight modules in the exceptional cases

In our previous paper [12], we gave a complete classification of the unitary highest weight modules for the universal covers of the Lie groups

S p (2 n, R), S O^{⁎} (2 n)

and

S U (p, q)

, using the Dirac inequality and the so called PRV product. In this paper, we complete the classification of the unitary highest weight modules for the remaining cases; i.e., universal covers of the Lie groups

S O_{e} (2, n)

E_{6 (- 14)}

and

E_{7 (- 25)}

. We also describe unitary highest weight modules with given infinitesimal characters.

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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.