169993 20260316092629.0 doi 10.1016/j.laa.2026.02.019 sideral 148523 ART-2026-148523 eng Draper, Cristina Special pure gradings on simple Lie algebras of types E6, E7, E8 2026 A group grading on a semisimple Lie algebra over an algebraically closed field of characteristic zero is special if its identity component is zero; it is pure if at least one of its components, other than the identity component, contains a Cartan subalgebra. We classify special pure gradings on Lie algebras of types E6, E7, E8 up to equivalence and up to isomorphism. To this end, we use quadratic forms over the field of two elements to show that there are exactly three equivalence classes for E6, four for E7, and five for E8. The computation of the corresponding Weyl groups and their actions on the universal groups yields a set of invariants that allow us to distinguish the isomorphism classes. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Elduque, Alberto Universidad de Zaragoza (orcid)0000-0002-6497-2162 Kochetov, Mikhail 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 737 (2026), 263-297 Linear algebra appl. LINEAR ALGEBRA AND ITS APPLICATIONS 0024-3795 1430292 http://zaguan.unizar.es/record/169993/files/texto_completo.pdf Versión publicada 1557048 http://zaguan.unizar.es/record/169993/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:169993 articulos driver 2026-03-16-08:16:26 ARTICLE