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New induction relations for homogeneous functions in Jucys-Murphy elements
New induction relations homogeneous functions Jucys-Murphy elements
2010/11/26
The problem of computing the class expansion of some symmetric function evaluated in Jucys-Murphy elements appears in different contexts, for instance in the computation of matrix integrals.
(Positively) homogeneous functions play a special role in the Legendre-Fenchel duality. The Legendre-Fenchel conjugate of a $p$-homogeneous function is a $q$-homogeneous function with $1/p+1/q=1$. Fu...