On the b-symplectic linear group

被引:0
作者
Shafiee, Mohammad [1 ]
机构
[1] Vali e Asr Univ Rafsanjan, Dept Math, POB 518, Rafsanjan, Iran
来源
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2016年 / 9卷 / 04期
关键词
b-Symplectic manifold; b-Map; b-Symplectomorphism;
D O I
10.1007/s40574-016-0068-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The set of all linear transformations on R-2m, preserving its b-symplectic structure, is a Lie group. This group has two components and its identity component contains the unitary group U(m-1) as maximal compact subgroup. We obtain a unitary representation for the identity component. At last some results on embedding by this transformations are presented.
引用
收藏
页码:505 / 511
页数:7
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