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n-Schur Functions and Determinants on an Infinite Grassmannian - MaRDI portal

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n-Schur Functions and Determinants on an Infinite Grassmannian

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Publication:6501100

arXivmath/9811081MaRDI QIDQ6501100

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Abstract: A set of functions is defined which is indexed by a positive integer n and partitions of integers. The case n=1 reproduces the standard Schur polynomials. These functions are seen to arise naturally as a determinant of an action on the frame bundle of an infinite grassmannian. This fact is well known in the case of the Schur polynomials (n=1) and has been used to decompose the au-functions of the KP hierarchy as a sum. In the same way, the new functions introduced here (n>1) are used to expand quotients of au-functions as a sum with Plucker coordinates as coefficients.












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