query: Isomorphic Lie Algebra $so(4)$ and $su(2) \times su(2)$
positive_passages.docid: 154735
positive_passages.text: $so(4)=su(2)× su(2)$
negative_passages.docid: 81188
negative_passages.text: $SO(3)$, orbital angular momentum, vector product
negative_passages.docid: 55148
negative_passages.text: Why is this isomorphism $M \otimes_K L \stackrel{\simeq}{\longrightarrow} M^{[L:K]}$ an isomorphism of $M$ - algebras?
negative_passages.docid: 111883
negative_passages.text: Representations of a product of Lie groups
negative_passages.docid: 109596
negative_passages.text: Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
negative_passages.docid: 82637
negative_passages.text: Does there exist a non-trivial, associative Lie algebra?
negative_passages.docid: 36691
negative_passages.text: Parameters on $SU(4)$ and $SU(2)$
negative_passages.docid: 81238
negative_passages.text: Is $O(2)$ really not isomorphic to $SO(2)\times \{-1,1\}$?
negative_passages.docid: 121257
negative_passages.text: Image of Homomorphism of Lie groups
negative_passages.docid: 44629
negative_passages.text: Why Lie algebras of type $B_2$ and $C_2$ are isomorphic?
negative_passages.docid: 58653
negative_passages.text: The opposite of Weyl's theorem on Lie algebras
negative_passages.docid: 68001
negative_passages.text: Semisimple Lie algebras are perfect.
negative_passages.docid: 50130
negative_passages.text: $\operatorname{Aut}(V)$ is isomorphic to $S_3$
negative_passages.docid: 124245
negative_passages.text: How are groups with the same Lie Algebra inequivalent?
negative_passages.docid: 53327
negative_passages.text: $C_2 \times C_2$ and $C_4$
negative_passages.docid: 117131
negative_passages.text: Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
negative_passages.docid: 68014
negative_passages.text: Prove that $\mathfrak{su}(2)$ is not isomorphic to $\mathfrak{sl}(2,\mathbb R)$