DECOMPOSABLY-GENERATED MODULES OF SIMPLE LIE ALGEBRAS

被引：0

作者：

He, Junhua ^{[1
]}

Tan, Youjun ^{[1
]}

机构：

[1] Sichuan Univ, Math Coll, Chengdu 610064, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2012年 / 11卷 / 02期

关键词：

Orthogonal modules; decomposably-generated modules;

D O I：

10.1142/S0219498811005415

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that there are finitely many irreducible finite-dimensional orthogonal modules V (up to isomorphism) over any complex simple Lie algebras such that Spin(0)(V) is decomposably-generated in the sense of Panyushev [The exterior algebra and "Spin" of an orthogonal g-module, Trans. Groups 6 (2001) 371-396]. The case of simple Lie algebras of type A is discussed.

引用

页数：16

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