Title: he Non-Projective Part of the Tensor Powers of a Module
Abstract: Let M be a finite dimensional modular representation of a finite group G. We consider the generating function for the non-projective part of the tensor powers of M, and consider the reciprocal of the radius of convergence of this power series. We investigate the properties of this invariant, using tools from representation theory and from the theory of commutative Banach algebras.