Infinite-Dimensional Flag Manifolds in Integrable Systems

1995 ◽  
pp. 99-121
Author(s):  
G. F. Helminck ◽  
A. G. Helminck
Keyword(s):  
Integrable Systems ◽  
Flag Manifolds ◽  
Infinite Dimensional

Infinite-dimensional flag manifolds in integrable systems

1995 ◽  
Vol 41 (1-3) ◽  
pp. 99-121
Author(s):  
G. F. Helminck ◽  
A. G. Helminck
Keyword(s):  
Integrable Systems ◽  
Flag Manifolds ◽  
Infinite Dimensional

DEFORMATIONS OF LOOP ALGEBRAS AND CLASSICAL INTEGRABLE SYSTEMS: FINITE-DIMENSIONAL HAMILTONIAN SYSTEMS

2004 ◽  
Vol 16 (07) ◽  
pp. 823-849 ◽  
Author(s):  
T. SKRYPNYK
Keyword(s):  
Lie Algebras ◽  
Hamiltonian Systems ◽  
Spectral Parameter ◽  
Integrable Systems ◽  
Integrable Hamiltonian Systems ◽  
Infinite Dimensional ◽  
Loop Algebras ◽  
Finite Dimensional ◽  
Quasigraded Lie Algebras ◽  
Classical Integrable

We construct a family of infinite-dimensional quasigraded Lie algebras, that could be viewed as deformation of the graded loop algebras and admit Kostant–Adler scheme. Using them we obtain new integrable hamiltonian systems admitting Lax-type representations with the spectral parameter.

scholarly journals Infinite-dimensional Frobenius manifolds for 2 + 1 integrable systems

2010 ◽  
Vol 349 (1) ◽  
pp. 75-115 ◽  
Author(s):  
Guido Carlet ◽  
Boris Dubrovin ◽  
Luca Philippe Mertens
Keyword(s):  
Integrable Systems ◽  
Infinite Dimensional ◽  
Frobenius Manifolds
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