Generators for the Algebra of Symmetric Functions

2024/03/11 by S, Velmurugan
#05E05 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.06468

Abstract

The algebra of symmetric functions contains several interesting families of symmetric functions indexed by integer partitions or skew partitions. Given a sequence \u_n\ of symmetric functions taken from one of these families such that u_n 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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