Maximal subalgebras of the general linear Lie algebra containing Cartan subalgebras  

作　　者：WANGDengYin GEHui LIXiaoWei 

机构地区：[1]CollegeofScience,ChinaUniversityofMiningandTechnology,Xuzhou221116,China

出　　处：《Science China Mathematics》2012年第7期1381-1386,共6页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.11171343);the Fundamental Research Funds for the Central Universities (Grant No. 2010LKSX05)

摘　　要：Let gl,,（R） be the general linear Lie algebra of all n×n matrices over a unital commutative ring R with 2 invertible, dn（R） be the Cartan subalgebra of gln（R） of all diagonal matrices. The maximal subalgebras of gln（R） that contain dn（F：） are classified completely.Let gln(R) be the general linear Lie algebra of all n × n matrices over a unital commutative ring R with 2 invertible, dn(R) be the Cartan subalgebra of gln(R) of all diagonal matrices. The maximal subalgebras of gln(R) that contain dn(R) are classified completely.

关 键 词：maximal subalgebras the general linear Lie algebra Cartan subalgebras unital commutativerings 

分 类 号：O152.5[理学—数学] O151.21[理学—基础数学]