query: Trouble with "trivial" example of a semi-simple Lie algebra
positive_passages.docid: 147399
positive_passages.text: Proof of "$L$ / Rad$L$ is semisimple for arbitrary Lie algebra L".
negative_passages.docid: 121257
negative_passages.text: Image of Homomorphism of Lie groups
negative_passages.docid: 60663
negative_passages.text: Let $\rho$ f.d. rep of a nilpotent Lie algebra such that $\rm{det} \rho(X) = 0$, $\forall X$. Then $\exists v \neq 0$: $\rho(X)v = 0, \forall X$.
negative_passages.docid: 84677
negative_passages.text: An Explicit Isomorphism Between the Three Dimensional Orthogonal Lie Algebra and the Special Linear Lie Algebra of Dimension $3$
negative_passages.docid: 89805
negative_passages.text: 2-dimensional Lie subgroups of $SO(3)$
negative_passages.docid: 70604
negative_passages.text: Lie algebra over $F$ of dimension $3$ whose derived algebra has dimension $1$ and lies in $Z(L)$
negative_passages.docid: 13371
negative_passages.text: 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
negative_passages.docid: 87922
negative_passages.text: Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$
negative_passages.docid: 126173
negative_passages.text: From irreducible representations of the Lorentz algebra to irreducible representations of the Lorentz group
negative_passages.docid: 72932
negative_passages.text: Center of Lie group and Lie algebra
negative_passages.docid: 128603
negative_passages.text: Lie algebra and tangent space at the identity are isomorphic
negative_passages.docid: 145809
negative_passages.text: Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$
negative_passages.docid: 151047
negative_passages.text: a non trivial example: $G/H$ is isomorphic to $G$
negative_passages.docid: 117737
negative_passages.text: Why is $\mathfrak{sl}(n)$ the algebra of traceless matrices?
negative_passages.docid: 24131
negative_passages.text: How to visualise the derived series of the Lie algebra $\mathfrak{u}(n,\mathbb{C})$?
negative_passages.docid: 59902
negative_passages.text: Example of $2$ non-isomorphic groups that have the same quotients
negative_passages.docid: 113385
negative_passages.text: Example of $f,g: [0,1]\to[0,1]$ and Riemann-integrable, but $g\circ f$ is not?