Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials
Iwasaki, Katsunori ; Matsumoto, Keiji
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 135-140 / Harvested from Project Euclid
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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.
Publié le : 2000-11-14
Classification:  Generalized Airy function,  twisted de Rham cohomology group,  duality,  intersection matrix,  Schur polynomial,  skew-Schur polynomial,  33C70,  05E05 
@article{1148393427,
     author = {Iwasaki, Katsunori and Matsumoto, Keiji},
     title = {Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 135-140},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393427}
}

Iwasaki, Katsunori; Matsumoto, Keiji. Intersection matrix of a generalized Airy function in terms of skew-Schur polynomials. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  135-140. http://gdmltest.u-ga.fr/item/1148393427/