%PDF-1.4 % 5 0 obj << /S /GoTo /D (section.1) >> endobj 8 0 obj (Introduction) endobj 9 0 obj << /S /GoTo /D (section.2) >> endobj 12 0 obj (Notations) endobj 13 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 16 0 obj (Symmetric functions) endobj 17 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 20 0 obj (Jack symmetric functions and zonal polynomials) endobj 21 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 24 0 obj (Pair partitions) endobj 25 0 obj << /S /GoTo /D (section.3) >> endobj 28 0 obj (The main result) endobj 29 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 32 0 obj (Zonal polynomials in terms of pair-partition) endobj 33 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 36 0 obj (Application) endobj 37 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 40 0 obj (Combinatorial interpretation) endobj 41 0 obj << /S /GoTo /D (subsection.3.4) >> endobj 44 0 obj (Links between pair-partitions and zonal characters) endobj 45 0 obj << /S /GoTo /D (section.4) >> endobj 48 0 obj (Proof of Theorem 3) endobj 49 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 52 0 obj (Combinatorial lemmas) endobj 53 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 56 0 obj (Triangularity) endobj 57 0 obj << /S /GoTo /D (subsection.4.3) >> endobj 60 0 obj (Orthogonality) endobj 61 0 obj << /S /GoTo /D (subsection.4.4) >> endobj 64 0 obj (Normalization) endobj 65 0 obj << /S /GoTo /D (section.5) >> endobj 68 0 obj (Combinatorial formulas for zonal characters) endobj 69 0 obj << /S /GoTo /D (subsection.5.1) >> endobj 72 0 obj (Via numbers of embeddings) endobj 73 0 obj << /S /GoTo /D (subsection.5.2) >> endobj 76 0 obj (In terms of Stanley's coordinates) endobj 77 0 obj << /S /GoTo /D (subsection.5.3) >> endobj 80 0 obj (In terms of free cumulants) endobj 81 0 obj << /S /GoTo /D (section.6) >> endobj 84 0 obj (Conclusion) endobj 85 0 obj << /S /GoTo /D [86 0 R /Fit ] >> endobj 99 0 obj << /Length 3372 /Filter /FlateDecode >> stream xڭv6_JX\ A}jҦM6i=g<lHf@4}"0 s E?^hzq}H4Bg2a,-_rJ竵å[Ími+@$4\?5^G+tٰU/A, b?R%)).Y O}{aZ*ЉZE ߛ'2wEeYE,}? ZW~.U+L *wa$biJ[uEEܼ ihq:_@zPr1hMC}9ܿuE**I7RGnh-&@q*f"i)4IѬ(R9$+W)`͒MXLx{H|@S)OCkK>'yլDlkU|)::UXIήWt-bU/<fg@!}UmޘLw?V#3q,AS0LcP\WIJe}Я탡fcx 8h,__qg-\H"pW02xt3wHAp]י _Gzܒ&9۶kLU8%ں̖ݶh7{Pk>Zڶ3enkSٕ9¹ ͮ/СGO?9@ቱ͎Aεn3Lu`VZ^o- k-@1+="P^6,lKokW6mQ$ * ,Q}Wb_Z $onwM]!$vQ%|kP}@.;?n|Kc!)$+5Y.4$˶/PwV)~V^;d~^`Q*M:q@6Κ*4ь':ZvPٮ)9*G#[$0{(#h#4e}PuG!V);AC3Am%o5(}@.GN\}̱u\s䰅PskP Ant,ѥxx& ^5en 9ގ5Isuͻq7JLrl `kpM;$v=|CAۜ"5-1[