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On the Matchings-Jack Conjecture for Jack Connection Coefficients Indexed by Two Single Part Partitions

On the Matchings-Jack Conjecture for Jack Connection Coefficients Indexed by Two Single Part Partitions

This article is devoted to the study of Jack connection coefficients, a generalization of the connection coefficients of the classical commutative subalgebras of the group algebra of the symmetric group closely related to the theory of Jack symmetric functions. First introduced by Goulden and Jackson (1996) these numbers indexed by …