Abstract
We prove the classification of homomorphisms from the algebra of symmetric functions to $\mathbb {R}$ with non-negative values on Macdonald symmetric functions $P_{\lambda }$, which was conjectured by S. V. Kerov in 1992.
We prove the classification of homomorphisms from the algebra of symmetric functions to $\mathbb {R}$ with non-negative values on Macdonald symmetric functions $P_{\lambda }$, which was conjectured by S. V. Kerov in 1992.
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