A root vector is a nonzero element of a root space gα in the root-space decomposition of a semisimple Lie algebra.
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- Root space
- Root-space decomposition
- Cartan subalgebra
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- Lie algebra
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- Centralizer lower bound for a root vector
- Cyclic trace identity between adjacent weight spaces
- G2 adjoint branching to a short-root sl2 subalgebra
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- Root-space reducedness lemma
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