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

Mathematics – Quantum Algebra

Scientific paper

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31 pages, Ams-Tex, including 12 Postscript figures

Scientific paper

Integral of a certain multivalued form over cycle $\pmb\Delta$ 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
$\pmb\Delta$. Zonal spherical function is a particular conformal block of
$WA_n$-algebra.

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