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Maximal abelian diagonalizable groups and fine gradings on simple Lie algebras
The oldest and best known grading on a (semisimple) Lie algebra is the root space decomposition with respect to a maximal torus. This is a grading by a free abelian group (the root lattice) and it is \emph{fine} in the sense that it cannot be refined. In
Draper-Fontanals, Cristina
core

