This paper is concerned with aspects of the general problem of constructing and distinguishing equivariant algebraic vector bundles over a base space which is an affine variety with an algebraic action of a complex reductive group G i.e. an affine G-variety. In previous papers (See references.) we have been interested in general aspects of equivariant stably trivial vector bundles over a base which is an arbitrary affine G-variety. In those papers special emphasis was placed on the case where the base is a representation. In this paper we introduce a new class of equivariant varieties as base space. For these we give a complete description of a naturally defined subset of stably trivial equivariant bundles and give applications.
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