论文标题

经典仿射W-偏源

Integrability of classical affine W-algebras

论文作者

De Sole, Alberto, Jibladze, Mamuka, Kac, Victor G., Valeri, Daniele

论文摘要

我们证明,所有古典杂物w-algebras w(g,f),g是一个简单的谎言代数,f是其非零的nilpotent元素,承认Bi-Hamiltonian PDES是可集成的层次结构,可能是nilpotent contiment in n nilpotent in g_2 in G_2中的nilpotent conigacy class in g_2中的f_4中的一个和五个。

We prove that all classical affine W-algebras W(g,f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G_2, one in F_4, and five in E_8.

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