query: Proving Lie algebra isomorphism to $\mathfrak{sl}(2, \mathbb{C})$
positive_passages.docid: 152766
positive_passages.text: 3-dim simple complex Lie algebra
negative_passages.docid: 96770
negative_passages.text: Explicit isomorphism between the four dimensional orthogonal Lie algebra and the direct sum of special linear Lie algebras of dimension 3.
negative_passages.docid: 137761
negative_passages.text: Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?
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: 61593
negative_passages.text: Adjoint map is Lie homomorphism
negative_passages.docid: 15686
negative_passages.text: Product of a Lie ideal with a subalgebra
negative_passages.docid: 58135
negative_passages.text: Quotient group $SL(2,\mathbb{R})/SO(2,\mathbb{R})$
negative_passages.docid: 118396
negative_passages.text: Non abelian Lie group with abelian Lie algebra
negative_passages.docid: 107163
negative_passages.text: Proof that $S_3$ isomorphic to $D_3$
negative_passages.docid: 121449
negative_passages.text: An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
negative_passages.docid: 9140
negative_passages.text: Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$
negative_passages.docid: 128603
negative_passages.text: Lie algebra and tangent space at the identity are isomorphic
negative_passages.docid: 91222
negative_passages.text: Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
negative_passages.docid: 124882
negative_passages.text: Killing form on $\mathfrak{sp}(2n)$
negative_passages.docid: 26958
negative_passages.text: Classification of 3-dimensional Lie Algebra
negative_passages.docid: 68014
negative_passages.text: Prove that $\mathfrak{su}(2)$ is not isomorphic to $\mathfrak{sl}(2,\mathbb R)$
negative_passages.docid: 77722
negative_passages.text: Lie algebra of affine linear maps