Projects per year
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 HallLittlewood 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 BakerAkhiezer function.
Original language  English 

Pages (fromto)  901916 
Number of pages  16 
Journal  Letters in Mathematical Physics 
Volume  105 
Issue number  7 
Early online date  12 Jun 2015 
DOIs  
Publication status  Published  1 Jul 2015 
Bibliographical note
© 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 selfarchiving policy.Profiles
Projects
 1 Finished

Cherednik Algebras at Infinity
Nazarov, M. L. & Balagovic, M.
1/10/11 → 31/10/14
Project: Research project (funded) › Research