Irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S

被引：0

作者：

Boyallian, Carina ^{[1
]}

Meinardi, Vanesa ^{[1
]}

机构：

[1] Univ Nacl Cordoba, CIEM, FAMAF, Cordoba, Argentina

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 02期

关键词：

Representation theory of n-Lie algebra; linearly compact n-Lie superalgebra;

D O I：

10.1142/S0219498819500361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras S-n and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.

引用

页数：23

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