Abstract
this paper is to offer a suggestion for the analogue of the basis of homogeneous symmetric
functions for Weyl group symmetric functions. In this case the definition is motivated by the theory of
centralizer algebras. The idea motivating the generalization is that it is really the Frobenius image of the
homogeneous symmetric function that is the useful object. It is clear from the double centralizer theory
that an analogue of the Frobenius characteristic map is a feature of the double...
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