%0 Journal Article
%T n-Schur Functions and Determinants on an Infinite Grassmannian
%A Alex Kasman
%J Physics
%D 1998
%I arXiv
%X 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 $\tau$-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 $\tau$-functions as a sum with Plucker coordinates as coefficients.
%U http://arxiv.org/abs/math/9811081v1