REPRESENTATIONS OF THE EXCEPTIONAL LIE SUPERALGEBRA E(3,6) III: CLASSIFICATION OF SINGULAR VECTORS

被引：8

作者：

Kac, Victor G. ^{[1
]}

Rudakov, Alexei ^{[2
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] NTNU, Inst Matemat Fag, N-7491 Trondheim, Norway

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2005年 / 4卷 / 01期

关键词：

Irreducible representation; linearly compact Lie superalgebra; generalized Verma modules; singular vector; Standard Model;

D O I：

10.1142/S0219498805001095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We continue the study of irreducible representations of the exceptional Lie superalgebra E(3, 6). This is one of the two simple infinite-dimensional Lie superalgebras of vector fields which have a Lie algebra sl(3) x sl(2) x gl(1) as the zero degree component of its consistent Z-grading. We provide the classification of the singular vectors in the degenerate Verma modules over E(3, 6), completing thereby the classification and construction of all irreducible E(3, 6)-modules that are L-0-locally finite.

引用

页码：15 / 57

页数：43

共 4 条

[1] Structure of some Z-graded Lie superalgebras of vector fields [J].