Generators for the Algebra of Symmetric Functions

التفاصيل البيبلوغرافية
العنوان: Generators for the Algebra of Symmetric Functions
المؤلفون: S, Velmurugan
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 05E05
الوصف: 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
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.06468
رقم الأكسشن: edsarx.2403.06468
قاعدة البيانات: arXiv