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Lax operator for Macdonald symmetric fun...
Nazarov, Maxim...
Lax operator for Macdonald symmetric functions by Nazarov, Maxim ( Author )
N.A
05-11-2014
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 same 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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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1411.1315
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