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

Konstantin Matveev

doi:10.4007/annals.2019.189.1.5

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

Research output: Contribution to journal › Article › peer-review

Abstract

We prove the classification of homomorphisms from the algebra of symmetric functions to ℝ with non-negative values on Macdonald symmetric functions Pλ, which was conjectured by S. V. Kerov in 1992.

Original language	American English
Pages (from-to)	277-316
Number of pages	40
Journal	Annals of Mathematics
Volume	189
Issue number	1
DOIs	https://doi.org/10.4007/annals.2019.189.1.5
State	Published - 2019
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Keywords

Asymptotic representation theory
Boundaries of branching graphs
Kerov conjecture
Macdonald functions
Symmetric functions
Total positivity

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10.4007/annals.2019.189.1.5

Cite this

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title = "Macdonald-positive specializations of the algebra of symmetric functions: Proof of the Kerov conjecture",

abstract = "We prove the classification of homomorphisms from the algebra of symmetric functions to ℝ with non-negative values on Macdonald symmetric functions Pλ, which was conjectured by S. V. Kerov in 1992.",

keywords = "Asymptotic representation theory, Boundaries of branching graphs, Kerov conjecture, Macdonald functions, Symmetric functions, Total positivity",

author = "Konstantin Matveev",

note = "Publisher Copyright: {\textcopyright} 2019 Department of Mathematics, Princet on University.",

year = "2019",

doi = "10.4007/annals.2019.189.1.5",

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KW - Boundaries of branching graphs

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KW - Total positivity

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

Abstract

ASJC Scopus subject areas

Keywords

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