Quasi-symmetric functions and the KP hierarchy

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Quasi-symmetric functions show up in an approach to solve the Kadomtsev-Petviashvili (KP) hierarchy. This moreover features a new nonassociative product of quasi-symmetric functions that satisfies simple relations with the ordinary product and the outer coproduct. In particular, supplied with this new product and the outer coproduct, the algebra of quasi-symmetric functions becomes an infinitesimal bialgebra. Using these results we derive a sequence of identities in the algebra of quasi-symmetric functions that are in formal correspondence with the equations of the KP hierarchy.
16 pages

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Mathematical Physics, Exactly Solvable and Integrable Systems, 16W30; 05E05; 37K10; 17Dxx

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http://salesiana.dossiersoluciones.com/handle/123456789/216348

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.2562
 http://arxiv.org/abs/0901.2562

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arXiv