Cycle for integration for zonal spherical function of type $A_n$

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Integral 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 figures

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