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

• 成果类型: Article
• 署名作者: Matveev, Konstantin
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2019.189.1.5
• 发表日期: 2019
• 页码: 277-316
• 关键词: representation; POLYNOMIALS; matrices

摘要

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