Classical Affine W -Algebras and the Associated Integrable Hamiltonian Hierarchies for Classical Lie Algebras

We prove that any classical affine W-algebra W (g, f) , where g is a classical Lie algebra and f is an arbitrary nilpotent element of g, carries an integrable Hamiltonian hierarchy of Lax type equations. This is based on the theories of generalized Adler type operators and of generalized quasideterm...

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Bibliographic Details
Main Authors: De Sole, Alberto (Author), Kac, Victor (Author), Valeri, Daniele (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2019-11-20T16:06:34Z.
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