Nazarov, Maxim and Sklyanin, Evgeny orcid.org/0000-0003-2194-0643 (2015) Lax operator for Macdonald symmetric functions. Letters in Mathematical Physics. pp. 901-916. ISSN 1573-0530
Abstract
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.
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Copyright, Publisher and Additional Information: | © 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. | ||||
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
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Depositing User: | Pure (York) | ||||
Date Deposited: | 26 Oct 2015 13:04 | ||||
Last Modified: | 17 Feb 2024 00:15 | ||||
Published Version: | https://doi.org/10.1007/s11005-015-0770-1 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1007/s11005-015-0770-1 |
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