Macdonald-positive specializations of the algebra of symmetric functions: Proof of the Kerov conjecture


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.


Konstantin Matveev

Brandeis University, Waltham, MA