2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149548Integral of a certain multivalued form over cycle $\pmbΔ$ provides zonal spherical function of type $A_n$. This paper is devoted to quantum group analysis and verification of monodromy properties of the distinguished cycle $\pmbΔ$. Zonal spherical function is a particular conformal block of $WA_n$-algebra.31 pages, Ams-Tex, including 12 Postscript figuresQuantum Algebratext