Symmetric functions and Macdonald's result for top connexion coefficients in the symmetric group
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Publication:1330057
DOI10.1006/jabr.1994.1157zbMath0830.20021OpenAlexW2033980874MaRDI QIDQ1330057
David M. Jackson, Ian P. Goulden
Publication date: 17 August 1994
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1994.1157
symmetric groupssymmetric functionsclass algebrasconnexion coefficientsordered factorisations of permutations
Symmetric functions and generalizations (05E05) Representations of finite symmetric groups (20C30) Symmetric groups (20B30)
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Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra ⋮ The Farahat-Higman ring of wreath products and Hilbert schemes ⋮ Content evaluation and class symmetric functions ⋮ Noncommutative symmetric functions and Lagrange inversion. II: Noncrossing partitions and the Farahat-Higman algebra ⋮ The topological symmetric orbifold ⋮ A one-parameter deformation of the Farahat-Higman algebra. ⋮ \(k\)-indivisible noncrossing partitions ⋮ On products of permutations with the most uncontaminated cycles by designated labels ⋮ Integrality in the matching-Jack conjecture and the Farahat-Higman algebra ⋮ Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions ⋮ Lagrange inversion and Schur functions ⋮ A ``Fourier transform for multiplicative functions on non-crossing partitions ⋮ Inequivalent factorizations of permutations ⋮ Enumeration of planar constellations ⋮ Reduced decompositions of permutations in terms of star transpositions, generalized Catalan numbers and \(k\)-ary trees ⋮ Transitive factorizations in the symmetric group, and combinatorial aspects of singularity theory ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson
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