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Bihomogeneous symmetric functions
Published online by Cambridge University Press: 25 May 2021
Abstract
We consider two natural gradings on the space of symmetric functions: by degree and by length. We introduce a differential operator T that leaves the components of this double grading invariant and exhibit a basis of bihomogeneous symmetric functions in which this operator is triangular. This allows us to compute the eigenvalues of T, which turn out to be nonnegative integers.
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- © Canadian Mathematical Society 2021
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Support from the Natural Sciences and Engineering Research Council of Canada is gratefully acknowledged.
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