Jordan gradings on exceptional simple Lie algebras
Alberto Elduque
TL;DR
This paper classifies all gradings on exceptional simple Lie algebras that are induced by Jordan subgroups of their automorphism groups, providing explicit models for each case.
Contribution
It offers a comprehensive construction of models for all such gradings, advancing understanding of the structure of exceptional Lie algebras.
Findings
Complete classification of Jordan-induced gradings
Explicit models for each grading type
Enhanced understanding of automorphism group actions
Abstract
Models of all the gradings on the exceptional simple Lie algebras induced by Jordan subgroups of their groups of automorphisms are provided.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology