Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains  

作　　者：Soji Kaneyuki 

机构地区：[1]Department of Mathematics Nihon Institute of Technology,Miyashiro-cho,Saitama 345-8501,Japan

出　　处：《Science China Mathematics》2005年第z1期283-294,共12页中国科学：数学（英文版）

摘　　要：Symmetric spaces of Cayley type are a higher dimensional analogue of a onesheeted hyperboloid in R3. They form an important class of causal symmetric spaces. To a symmetric space of Cayley type M, one can associate a bounded symmetric domain of tube type D. We determine the full causal automorphism group of M. This clarifies the relation between the causal automorphism group and the holomorphic automorphism group of D.Symmetric spaces of Cayley type are a higher dimensional analogue of a one-sheeted hyperboloid in R3. They form an important class of causal symmetric spaces. To a symmetric space of Cayley type M, one can associate a bounded symmetric domain of tube type D. We determine the full causal automorphism group of M. This clarifies the relation between the causal automorphism group and the holomorphic automorphism group of D.

关 键 词：CAUSAL structure  SYMMETRIC space of CAYLEY type  BOUNDED SYMMETRIC domain. 

分 类 号：O152[理学—数学]