Semisimple Lie subalgebra closed under JC decomposion
104962
Jordan-Chevalley decomposition
58135
Quotient group $SL(2,\mathbb{R})/SO(2,\mathbb{R})$
68001
Semisimple Lie algebras are perfect.
152443
Cosemisimple Hopf algebra and Krull-Schmidt
70533
In what sense can the Lie algebra of $GL_n(\mathbb{C})$ be "identified" with $M_n(\mathbb C)$?
81550
Linking two theorems: on algebraic closure and on minimal splitting field
72932
Center of Lie group and Lie algebra
134294
A (not necessarily unitary) $R$ module $M$ splits into $B\oplus C$ where $B$ is unitary and $RC=\{0\}$.
142612
Matrix Ring of a Semisimple Ring
96380
Representation of $\text{sl}(2,\mathbb{C})$
68014
Prove that $\mathfrak{su}(2)$ is not isomorphic to $\mathfrak{sl}(2,\mathbb R)$
80945
Borel subalgebras contain solvable radical
13371
Show that the Lie algebra generated by x, y with relations $ad(x)^2(y) = ad(y)^5(x) = 0$ is infinite dimensional and construct a basis
126472
Surjective endomorphisms of uniserial modules
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
62219
Under what conditions is the exponential map on a Lie algebra injective?
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$