REVIEW 2 cited by
The Fundamental Theorem on Symmetric Polynomials: History's First Whiff of Galois Theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We describe the Fundamental Theorem on Symmetric Polynomials (FTSP), exposit a classical proof, and offer a novel proof that arose out of an informal course on group theory. The paper develops this proof in tandem with the pedagogical context that led to it. We also discuss the role of the FTSP both as a lemma in the original historical development of Galois theory and as an early example of the connection between symmetry and expressibility that is described by the theory.
Forward citations
Cited by 2 Pith papers
-
An introduction to the symmetric group algebra
A self-contained, proof-heavy graduate text that develops the symmetric group algebra from scratch and proves the standard basis theorem, Garnir relations, hook length formula, and Murphy cellular bases.
-
An Introduction to Algebraic Combinatorics
A proof-heavy, open-access graduate textbook on algebraic combinatorics, including a full proof of the Littlewood-Richardson rule.
Discussion (0). Continue with ORCID to comment.