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The Gelfand Mathematical Seminars, 1996–1999 pp 109–143Cite as

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A Cycle for Integration Yielding the Zonal Spherical Function of Type An

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Abstract

The integral of a certain multivalued form over a cycle A provides the zonal spherical function of type An. This paper is devoted to a quantum group analysis and verification of monodromy properties of the distinguished cycle Δ. The zonal spherical function in the case of the root system of type An is a particular conformal block of the WA n-algebra.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, Piscataway, NJ, 08854, USA

    A. Kazarnovski-Krol

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  1. Department of Mathematics, Rutgers University, Piscataway, NJ, 08854-8019, USA

    Israel M. Gelfand  & Vladimir S. Retakh  & 

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Kazarnovski-Krol, A. (2000). A Cycle for Integration Yielding the Zonal Spherical Function of Type An . In: Gelfand, I.M., Retakh, V.S. (eds) The Gelfand Mathematical Seminars, 1996–1999. Gelfand Mathematical Seminars. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1340-6_6

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  • DOI: https://doi.org/10.1007/978-1-4612-1340-6_6

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