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Nov. 2000 Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials
Katsunori Iwasaki, Keiji Matsumoto
Proc. Japan Acad. Ser. A Math. Sci. 76(9): 135-140 (Nov. 2000). DOI: 10.3792/pjaa.76.135

Abstract

A duality is introduced between a pair of polynomial twisted de Rham cohomology groups associated with a generalized Airy function in several variables. Natural bases of the twisted de Rham groups are constructed in terms of Schur polynomials. Then the intersection matrix relative to these bases is calculated explicitly in terms of skew-Schur polynomials.

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Katsunori Iwasaki. Keiji Matsumoto. "Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials." Proc. Japan Acad. Ser. A Math. Sci. 76 (9) 135 - 140, Nov. 2000. https://doi.org/10.3792/pjaa.76.135

Information

Published: Nov. 2000
First available in Project Euclid: 23 May 2006

zbMATH: 0971.33006
MathSciNet: MR1801673
Digital Object Identifier: 10.3792/pjaa.76.135

Subjects:
Primary: 33C70
Secondary: 05E05

Keywords: Duality , Generalized Airy function , intersection matrix , Schur polynomial , skew-Schur polynomial , twisted de Rham cohomology group

Rights: Copyright © 2000 The Japan Academy

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Vol.76 • No. 9 • Nov. 2000
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