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.
Citation
Konstantin Matveev. "Macdonald-positive specializations of the algebra of symmetric functions: Proof of the Kerov conjecture." Ann. of Math. (2) 189 (1) 277 - 316, January 2019. https://doi.org/10.4007/annals.2019.189.1.5
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