Generators for the Algebra of Symmetric Functions

Autor: S, Velmurugan
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 18 pages, Comments are welcome
Databáze: arXiv