Graded subalgebras of affine Kac-Moody algebras

被引:11
作者
Barnea, Y [1 ]
Shalev, A
Zelmanov, EI
机构
[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
[2] Yale Univ, Dept Math, New Haven, CT 06520 USA
关键词
Hausdorff Dimension; Loop Algebra; Moody Algebra; Central Simple; Finite Codimension;
D O I
10.1007/BF02897069
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We determine the maximal graded subalgebras of affine Kac-Moody algebras. We also show that the maximal graded subalgebras of loop algebras are essentially loop algebras.
引用
收藏
页码:321 / 334
页数:14
相关论文
共 7 条
[1]  
BARNEA Y, IN PRESS T AM MATH S
[2]  
Dynkin E.B., 1952, AM MATH SOC TRANSL 2, V6, P245
[3]  
Dynkin EB., 1952, Mat. Sbornik N.S., V72, P349
[4]   CENTRAL POLYNOMIALS FOR MATRIX RINGS [J].
FORMANEK, E .
JOURNAL OF ALGEBRA, 1972, 23 (01) :129-&
[5]  
Kac V.G, 1990, INFINITE DIMENSIONAL, Vthird, DOI DOI 10.1017/CBO9780511626234
[6]  
Pierce R.S., 1982, Associative Algebras, GTM 88, V88
[7]  
RAZMYSLOV JP, 1973, MATH USSR IZV, V7, P479