Some explicit integral polynomials with Galois group \(W(E_8)\)

DOI10.3792/pjaa.85.118zbMath1266.12003OpenAlexW2047469100MaRDI QIDQ1046452

Tetsuji Shioda

Publication date: 22 December 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.85.118

zbMATH Keywords

Weyl groupMordell-Weil latticesexplicit inverse Galois problem

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10)

Related Items (1)

Exterior powers of the adjoint representation and the Weyl ring of \(E_8\)

Cites Work

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• Gröbner basis, Mordell-Weil lattices and deformation of singularities. I
• An explicit integral polynomial whose splitting field has Galois group \(W(E_8)\)
• Construction of elliptic curves with high rank via the invariants of the Weyl groups
• Arithmetic E₈ Lattices with Maximal Galois Action

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