Let K, F be division rings, with KF,and dim_F K=r【∞ when we regard K asa left F-space. An n-dimensional left K-space V(n, K) can be regarded as annr-dimensional left space V= V(nr,F) over F,and thus GL (n, K) acting...Let K, F be division rings, with KF,and dim_F K=r【∞ when we regard K asa left F-space. An n-dimensional left K-space V(n, K) can be regarded as annr-dimensional left space V= V(nr,F) over F,and thus GL (n, K) acting on V(n, K)is embedded in GL (nr, F) acting on V (nr, F). In Ref. [1] we determined theovergroups of SL (n, K) and Sp (n, K) in GL(nr,F), Which are precisely the lineargroups or symplectic groups acting on the vector spaces structure V (nd, E)展开更多
文摘Let K, F be division rings, with KF,and dim_F K=r【∞ when we regard K asa left F-space. An n-dimensional left K-space V(n, K) can be regarded as annr-dimensional left space V= V(nr,F) over F,and thus GL (n, K) acting on V(n, K)is embedded in GL (nr, F) acting on V (nr, F). In Ref. [1] we determined theovergroups of SL (n, K) and Sp (n, K) in GL(nr,F), Which are precisely the lineargroups or symplectic groups acting on the vector spaces structure V (nd, E)
