A uniform construction of the root lattices \(E_ 6,E_ 7,E_ 8\) and their dual lattices

DOI10.3792/pjaa.71.140zbMath0854.17008OpenAlexW1996007110MaRDI QIDQ1917564

Tetsuji Shioda

Publication date: 22 January 1997

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.71.140

zbMATH Keywords

root systemdel Pezzo surfacesroot latticeconstructionMordell-Weil latticesdual lattices

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (1)

Multiplicative excellent family of type \(E_6\)

Cites Work

• Construction of elliptic curves with high rank via the invariants of the Weyl groups
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