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**Nazarov, Sklyanin, Lax operator for macdonald symmetric functions**151 KB, PDF-document

Journal | Letters in Mathematical Physics |
---|---|

Date | E-pub ahead of print - 12 Jun 2015 |

Date | Published (current) - Jul 2015 |

Issue number | 7 |

Volume | 105 |

Pages (from-to) | 901-916 |

Early online date | 12/06/15 |

Original language | English |

Using the Lax operator formalism, we construct a family of pairwise commuting operators such that the Macdonald symmetric functions of infinitely many variables and of two parameters q, t are their eigenfunctions. We express our operators in terms of the Hall-Littlewood symmetric functions of the variables and of the parameter t corresponding to the partitions with one part only. Our expression is based on the notion of Baker-Akhiezer function.

© Springer Science+Business Media Dordrecht 2015. This is an author produced version of a paper published in Letters in Mathematical Physics. Uploaded in accordance with the publisher's self-archiving policy.

## Cherednik Algebras at Infinity

Project: Research

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