On the matchings-Jack conjecture for Jack connection coefficients indexed by two single part partitions

zbMath1335.05182MaRDI QIDQ276196

Ekaterina A. Vassilieva, Andrei L. Kanunnikov

Publication date: 3 May 2016

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p53

zbMATH Keywords

Jack symmetric functionsJack connection coefficientsmatchings-Jack conjecture

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05)

Related Items (13)

Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra ⋮ Macdonald cumulants, \(G\)-inversion polynomials and \(G\)-parking functions ⋮ The top-degree part in the matchings-Jack conjecture ⋮ A labelled variant of the matchings-Jack and hypermap-Jack conjectures ⋮ Top degree part in \(b\)-conjecture for unicellular bipartite maps ⋮ Moments of the eigenvalue densities and of the secular coefficients ofβ-ensembles ⋮ Algebras with two multiplications and their cumulants ⋮ Integrality in the matching-Jack conjecture and the Farahat-Higman algebra ⋮ Cumulants of Jack symmetric functions and the $b$-conjecture ⋮ Strong factorization property of Macdonald polynomials and higher-order Macdonald's positivity conjecture ⋮ Non-orientable branched coverings, \(b\)-Hurwitz numbers, and positivity for multiparametric Jack expansions ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson ⋮ Generating series of non-oriented constellations and marginal sums in the Matching-Jack conjecture

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• On Kerov polynomials for Jack characters
• Long Cycle Factorizations : Bijective Computation in the General Case

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