----- > [!proposition] Proposition. ([[formula for derived and central series of quotient Lie algebra]]) > As one would hope, $(\mathfrak{g} / I)^{n}=\mathfrak{g}^{n} +I$ and $(\mathfrak{g} / I)^{(n)}=\mathfrak{g}^{(n)}+I$. ^proposition > [!proof]- Proof. ([[formula for derived and central series of quotient Lie algebra]]) > Computation. ----- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```