Splitting algebras, Symmetric functions and Galois Theory

Details Splitting algebras, Symmetric functions and Galois Theory Splitting algebras, Symmetric functions and Galois Theory

2002-11-06

arxiv.org/abs/math/0211125v1

Mathematics

Commutative Algebra

13 pages

Scientific paper

We present a theory for splitting algebras of monic polynomials over rings,
and apply the results to symmetric functions, and Galois theory. Our main
result is that the ring of invariants of a splitting algebra under the
symmetric group almost always is the ring of coefficients.

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