Bijective maps on standard Borel subgroup of symplectic group preserving commutators

Abstract Let F be a field, and let G be the standard Borel subgroup of the symplectie group Sp（2m, F）. In this paper, we characterize the bijective maps φ： G -- G satisfying φ[x, y] = [φ（x）, φ（y）].

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Bibliographic Details
Published in:Frontiers of mathematics in China 2012-06, Vol.7 (3), p.497-512
Main Author: OU, Shikun
Format: Article
Language:English
Subjects:
China
Commutators
map preserver commutators
Mapping
Mathematical analysis
Mathematics
Mathematics and Statistics
matrix group
Preserver map
Preserving
Research Article
Studies
Subgroups
保存
双射
地图
换向器
标准波
辛群
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Description
Summary:Abstract Let F be a field, and let G be the standard Borel subgroup of the symplectie group Sp（2m, F）. In this paper, we characterize the bijective maps φ： G -- G satisfying φ[x, y] = [φ（x）, φ（y）].
ISSN:1673-3452
1673-3576
DOI:10.1007/s11464-012-0181-x