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Splitting algebras, Symmetric functions and Galois Theory

Torsten Ekedahl·Dan Laksov
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Abstract

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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Torsten Ekedahl, Dan Laksov. 2002-11-06. Splitting algebras, Symmetric functions and Galois Theory. https://arxiv.org/abs/math/0211125

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