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  Quasi-symmetric functions and the KP hierarchy

Dimakis, A., & Müller-Hoissen, F. (2009). Quasi-symmetric functions and the KP hierarchy. Journal of Pure and Applied Algebra, 214, 449-460. doi:10.1016/j.jpaa.2009.06.001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-12EF-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-12F0-0
Genre: Journal Article

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 Creators:
Dimakis, Aristophanes, Author
Müller-Hoissen, Folkert1, Author              
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1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              

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 Abstract: Quasi-symmetric functions arise 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.

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Language(s): eng - English
 Dates: 2009-06-24
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 439837
DOI: 10.1016/j.jpaa.2009.06.001
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Title: Journal of Pure and Applied Algebra
  Alternative Title : J. Pure Appl. Algebra
Source Genre: Journal
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Publ. Info: -
Pages: - Volume / Issue: 214 Sequence Number: - Start / End Page: 449 - 460 Identifier: -