The Poisson geometry of SU(1,1)

被引：4

作者：

Foth, Philip ^{[1
]}

Lamb, McKenzie ^{[2
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

[2] Ripon Coll, Ripon, WI 54971 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 09期

关键词：

geometry; Poisson equation; SU(N) theory; COMPLEX FLAG MANIFOLDS; LIE-GROUPS;

D O I：

10.1063/1.3461878

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the natural Poisson structure on the group SU(1,1) and related questions. In particular, we give an explicit description of the Ginzburg-Weinstein isomorphism for the sets of admissible elements. We also establish an analog of Thompson's conjecture for this group. (C) 2010 American Institute of Physics. [doi:10.1063/1.3461878]

引用

页数：10

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