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A characterization of monotypically supersymmetric polynomials

2024/07/25 by Grigory Chelnokov, Chelnokov, Grigory, Maxim Turevskii +1
Mathematics · #13A99 #17B99 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2407.18409

openalex publication_date 2024/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce an object that has obvious similarity to the classical one - the algebra of supersymmetric polynomials. Despite the similarity, the known structure theorems on supersymmetric polynomials do not help in the study of the new object, so we prove their counterpart for the new object.

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