Multiplet Classification of Reducible Verma Modules over the G2 Algebra

被引：1
|
作者：
Dobrev, V. K. [1 ]
机构：
[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, 72 Tsarigradsko Chaussee, Sofia 1784, Bulgaria
来源：
32ND INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (GROUP32) | 2019年 / 1194卷
关键词：
LIE-GROUPS; REPRESENTATIONS;
D O I：
10.1088/1742-6596/1194/1/012027
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebra G(2(2)) which is split real form of G(2). We give the classification of reducible Verma modules G(2). We give also the singular vectors between these modules, thus setting the stage for construction of the invariant differential operators over G(2(2)).
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页数：9
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