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New integrable hierarchies from vertex operator representations of polynomial Lie algebras

✍ Scribed by Paolo Casati; Giovanni Ortenzi


Book ID
108137692
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
337 KB
Volume
56
Category
Article
ISSN
0393-0440

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In this article we show how to construct hierarchies of partial differential equations from the vertex operator representations of toroidal Lie algebras. In the smallest exampleᎏrank 2 toroidal cover of sl ᎏwe obtain an extension of the 2 KdV hierarchy. We use the action of the corresponding infinit