Finite-dimensional Representations for a Class of Generalized Intersection Matrix Lie Algebras
Finite-dimensional Representations for a Class of Generalized Intersection Matrix Lie Algebras
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DOI：
10.1080/00927872.2015.1113292
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发表时间：
2014-04
影响因子：
0.7
通讯作者：
Yung Gao;L. Xia
中科院分区：
文献类型：
--
作者：
Yung Gao;L. Xia
In this paper, the authors study a class of generalized intersection matrix Lie algebras gim(Mn), and prove that its every finite-dimensional semisimple quotient is of type M(n, a, c, d). Particularly, any finite dimensional irreducible gim(Mn) module must be an irreducible module of Lie algebra of type M(n, a, c, d) and any finite dimensional irreducible module of Lie algebra of type M(n, a, c, d) must be an irreducible module of gim(Mn).
