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math-ph2020
Integrability of classical affine W-algebras
Alberto De Sole, Mamuka Jibladze, Victor G. Kac +1
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,…
math-ph2020
-algebras via Lax type operators
Daniele Valeri
-algebras are certain algebraic structures associated to a finite dimensional Lie algebra and a nilpotent element via Hamiltonian reduction. In this note we gi…