March 11, 2024Open Access

Generators for the Algebra of Symmetric Functions

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Abstract

The algebra of symmetric functions contains several interesting families of symmetric functions indexed by integer partitions or skew partitions. Given a sequence \uₙ\ of symmetric functions taken from one of these families such that uₙ is homogeneous of degree n, we provide necessary and sufficient conditions for the sequence to form a system of algebraically independent generators for the algebra of symmetric functions.

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Cite This Study

S. Velmurugan (Mon,) studied this question.

synapsesocial.com/papers/68e74ba6b6db6435876c4619 https://doi.org/https://doi.org/10.48550/arxiv.2403.06468

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