query: Lie algebras isomorphism $gl(2,\mathbb{C}) \cong sl(2,\mathbb{C}) \oplus \mathbb{C}$
positive_passages.docid: 27056
positive_passages.text: $ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
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: 107594
negative_passages.text: Lie bracket for Lie algebra of $SO(n,m)$
negative_passages.docid: 39657
negative_passages.text: Strictly Upper Triangular $n\times n$ Matrices form a Nilpotent Lie Algebra over $\mathbb{C}$ for $n\geq 2$
negative_passages.docid: 66708
negative_passages.text: Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
negative_passages.docid: 105666
negative_passages.text: What's an easy way to show that $GL(n,\mathbb C)$ is connected?
negative_passages.docid: 118898
negative_passages.text: Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
negative_passages.docid: 26958
negative_passages.text: Classification of 3-dimensional Lie Algebra
negative_passages.docid: 76048
negative_passages.text: Why does $PSL(2,\mathbb C)\cong PGL(2,\mathbb C)$ but $PSL(2,\mathbb R) \not\cong PGL(2,\mathbb R)$?
negative_passages.docid: 7418
negative_passages.text: The Center of $\operatorname{GL}(n,k)$
negative_passages.docid: 85752
negative_passages.text: Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules
negative_passages.docid: 146028
negative_passages.text: $GL(n, \mathbb{C})$ is isomorphic to a subgroup of $GL(2n, \mathbb{R})$
negative_passages.docid: 89805
negative_passages.text: 2-dimensional Lie subgroups of $SO(3)$
negative_passages.docid: 23535
negative_passages.text: Describing the Lie algebra structure of a semi-direct product of Lie groups
negative_passages.docid: 86224
negative_passages.text: The root system of $sl(3,\mathbb C)$
negative_passages.docid: 114626
negative_passages.text: Lie Algebra of U(N) and SO(N)
negative_passages.docid: 59138
negative_passages.text: Subgroups of $S_4$ isomorpic to $S_2$