Vertex Operator Realization of Symplectic and Orthogonal S-functions
نویسنده
چکیده
It is shown that symplectic and orthogonal Schur functions can be realized by the action of the modes of certain vertex operators on the function 1. The properties of these vertex operators allow one to reproduce the basic propreties of these types of symmetric functions. The vertex operator modes are shown to obey free fermionic relations which provides applications such as calculating products and plethysms as well as generating Hirota-type P.D.E.'s which have symplectic S-functions as functions.
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تاریخ انتشار 2007