NONREVERSIBILITY OF SUBSEMIGROUPS OF SEMISIMPLE LIE-GROUPS

被引:2
作者
MARTIN, LS [1 ]
机构
[1] UNIV ESTADUAL CAMPINAS,INST MATEMAT ESTATIST & CIENCIA COMPUTACAO,BR-13081 CAMPINAS,SP,BRAZIL
关键词
D O I
10.1007/BF02574358
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a connected semi-simple Lie group with finite centre and S subset-of G a subsemigroup with nonvoid interior. The purpose of this article is to show that S is not simultaneously left and right reversible unless S = G.
引用
收藏
页码:376 / 387
页数:12
相关论文
共 16 条
[1]  
HELGASON S., 1978, DIFFERENTIAL GEOMETR
[2]  
HILGERT J, 1985, UNPUB MATHEMATICA, V54, P17
[3]  
Hilgert J., 1989, LIE GROUPS CONVEX CO
[4]  
HOFMANN KH, 1990, ANAL TOPOLOGICAL THE
[5]  
Iwahori N., 1959, NAGOYA MATH J, V14, P59, DOI DOI 10.1017/S0027763000005778
[6]  
Jacobson N., 1962, LIE ALGEBRAS
[7]  
LAWSON JD, 1990, ANAL TOPOLOGICAL THE
[8]  
NEEB KH, 1991, SEMIGROUP FORUM, V43
[9]  
OLSHANSKII GI, 1982, FUNCT ANAL APPL+, V16, P311
[10]   ON OPEN SUBSEMIGROUPS OF CONNECTED GROUPS [J].
RUPPERT, WAF .
SEMIGROUP FORUM, 1989, 39 (03) :347-362