Show that there is a unique Lie algebra over F of dimension 3 whose derived algebra has dimension 1 and lies in Z(L).
70604
Lie algebra over $F$ of dimension $3$ whose derived algebra has dimension $1$ and lies in $Z(L)$
68001
Semisimple Lie algebras are perfect.
154117
Showing $[(fg)h]_n = [f(gh)_n]$ in the linear algebra $F^\infty$
60663
Let $\rho$ f.d. rep of a nilpotent Lie algebra such that $\rm{det} \rho(X) = 0$, $\forall X$. Then $\exists v \neq 0$: $\rho(X)v = 0, \forall X$.
143095
If an $H\le G$ has an irreducible representation of dimension $d$, then show $G$ has an irreducible representation of at least dimension $d$.
139168
Prove that there is an unique $z$ s.t. $f(z) = z$ where $z$ is a complex number
136083
Show that $\sigma\circ\phi : G_1 \to G_3$ is an isomorphism
51889
How to "find" this Lie algebra: proof that $\mathfrak{sl}$ is trace zero matrices
72548
Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$
115120
Finite dimensional $C^*$-algebras
2995
A finite dimensional algebra over a field has only finitely many prime ideals and all of them are maximal
123595
Representations of Direct Sum of Lie Algebras
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
118396
Non abelian Lie group with abelian Lie algebra
61593
Adjoint map is Lie homomorphism
107520
Krull dimension of $\mathbb{C}[x_1, x_2, x_3, x_4]/\left$