Factorization Dynamics and Coxeter--Toda Lattices

被引：0

作者：

Tim Hoffmann

Johannes Kellendonk

Nadja Kutz

Nicolai Reshetikhin

机构：

[1] Fachbereich Mathematik,

[2] Sekr. MA 8-5,undefined

[3] Technische Universität Berlin,undefined

[4] Strasse des 17. Juni 136,undefined

[5] ¶10623 Berlin,undefined

[6] Germany.¶E-mail: timh@sfb288.math.tu-berlin.de; kellen@math.tu-berlin.de; nadja@math.tu-berlin.de,undefined

[7] Department of Mathematics,undefined

[8] University of California at Berkeley,undefined

[9] Berkeley,undefined

[10] CA 94720,undefined

[11] USA.¶E-mail: reshetik@math.berkeley.edu,undefined

来源：

Communications in Mathematical Physics | 2000年 / 212卷

关键词：

Dynamical System; Factorization Relation; Substantial Part; Factorization Dynamic; Borel Subgroup;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is shown that the factorization relation on simple Lie groups with standard Poisson Lie structure restricted to Coxeter symplectic leaves gives an integrable dynamical system. This system can be regarded as a discretization of the Toda flow. In case of SLn the integrals of the factorization dynamics are integrals of the relativistic Toda system. A substantial part of the paper is devoted to the description of symplectic leaves in simple complex Lie groups, its Borel subgroups and their doubles.

引用

页码：297 / 321

页数：24