Jack-Laurent symmetric functions

2013/10/09 by A. N. Sergeev, Sergeev, A. N., А. П. Веселов +2 · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #05E05 #81R12 #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #math-ph #math.MP #msc:05E05 #msc:81R12

paper · pdf · doi:10.48550/arxiv.1310.2462

Corrected version with minor changes

openalex publication_date 2013/10/09 · arxiv created 2015/02/25 · arxiv updated 2015/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop the general theory of Jack-Laurent symmetric functions, which are certain generalisations of the Jack symmetric functions, depending on an additional parameter p₀.

Citations

• Calogero-Moser operators in infinite dimension

Cited by

• Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems
• Dunkl operators at infinity and Calogero-Moser systems

Related

• Jack-Laurent symmetric functions for special values of parameters
• Symmetric Jack polynomials from non-symmetric theory
• Existence and Orthogonality of Generalized Jack Polynomials and Its q-Deformation
• Jack polynomials and some identities for partitions
• A positivity conjecture on the structure constants of shifted Jack functions