Distinct weights in bounded-degree untwisted polynomial tensor representations of GL_d(q) yield distinct Singer cycle eigenvalues when total degree K is less than q-1.
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Spectral Separation and Eigenvalue Labelling for Polynomial Tensor Representations of General Linear Groups
Distinct weights in bounded-degree untwisted polynomial tensor representations of GL_d(q) yield distinct Singer cycle eigenvalues when total degree K is less than q-1.