IMMANANTS OF TOTALLY POSITIVE MATRICES ARE NONNEGATIVE

@inproceedings{Stembridge1991IMMANANTSOT,
  title={IMMANANTS OF TOTALLY POSITIVE MATRICES ARE NONNEGATIVE},
  author={John R. Stembridge},
  year={1991}
}
If/ is an irreducible character of Sn, these functions are known as immanants; if/ is an irreducible character of some subgroup G of Sn (extended trivially to all of Sn by defining /(vv) = 0 for w$G), these are known as generalized matrix functions. Note that the determinant and permanent are obtained by choosing / to be the sign character and trivial character of Sn, respectively. We should point out that it is more traditional to use /(vv) in (1) where we have used /(W). This change can be… CONTINUE READING
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