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Appendix C Notation

Symbol Description Location
\(\mathcal{V}\) a grading Definition 2.1
\(V_\alpha\) a layer of a grading Definition 2.1
\(\Omega\) the set of weights of a grading Definition 2.1
\(\langle X\rangle\) the span of \(X\) Paragraph
\(f_* \mathcal V\) a push-forward grading by a homomorphism \(f\) Definition 2.5
\(f_* \Phi(\mathcal V)\) a push-forward grading including an automorphism \(\Phi\) Definition 2.5
\(\Aut(\mathfrak{g})\) the automorphism group of \(\mathfrak{g}\) Definition 2.5
\(\der(\mathfrak{g})\) the derivation algebra of \(\mathfrak{g}\) Paragraph