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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.06468 |
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| _version_ | 1866917610264723456 |
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| author | S, Velmurugan |
| author_facet | S, Velmurugan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06468 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generators for the Algebra of Symmetric Functions S, Velmurugan Combinatorics 05E05 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. |
| title | Generators for the Algebra of Symmetric Functions |
| topic | Combinatorics 05E05 |
| url | https://arxiv.org/abs/2403.06468 |