2023/06/19 by Ryan Mickler, Mickler, Ryan
Mathematics · #05-02 #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Holomorphic and Operator Theory #Mathematical functions and polynomials #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Spectral Theory (math.SP)
paper · pdf · doi:10.48550/arxiv.2306.11115
openalex publication_date 2023/06/19 · openalex created_date 2023/06/22 · openalex updated_date 2026/07/28
We continue the work begun by Mickler-Moll investigating the properties of the polynomial eigenfunctions of the Nazarov-Sklyanin quantum Lax operator. By considering products of these eigenfunctions, we produce a novel generalization of a formula of Kerov relating Jack Littlewood-Richardson coefficients and residues of certain rational functions. Precisely, we derive a system of constraints on Jack Littlewood-Richardson coefficients in terms of a simple multiplication operation on partitions.