query: Differential of the inversion of Lie group
positive_passages.docid: 149248
positive_passages.text: Pushforward of inverse map at the identity?
negative_passages.docid: 72932
negative_passages.text: Center of Lie group and Lie algebra
negative_passages.docid: 37635
negative_passages.text: Diffeomorphism group of the unit circle
negative_passages.docid: 111814
negative_passages.text: Precise connection between complexification of $\mathfrak{su}(2)$, $\mathfrak{so}(1,3)$ and $\mathfrak{sl}(2, \mathbb{C})$
negative_passages.docid: 35248
negative_passages.text: Getting started with Lie Groups
negative_passages.docid: 38127
negative_passages.text: Equivalence between Kähler condition and $\partial_kg_{i\bar j} = \partial_ ig_{k\bar j}$
negative_passages.docid: 47681
negative_passages.text: How to go about solving this question on differentials?
negative_passages.docid: 21198
negative_passages.text: Proving that the general linear group is a differentiable manifold
negative_passages.docid: 9457
negative_passages.text: Compact Lie group bi-invariant metric
negative_passages.docid: 33278
negative_passages.text: $\delta$ differential notation
negative_passages.docid: 38839
negative_passages.text: Exponential of the differential operator
negative_passages.docid: 75391
negative_passages.text: How to prove that a left-invariant metric on a Lie group is smooth?
negative_passages.docid: 146730
negative_passages.text: The adjoint of left exterior multiplication by $\xi$ for hodge star operator
negative_passages.docid: 145809
negative_passages.text: Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$
negative_passages.docid: 89805
negative_passages.text: 2-dimensional Lie subgroups of $SO(3)$
negative_passages.docid: 56275
negative_passages.text: Vector derivative w.r.t its transpose $\frac{d(Ax)}{d(x^T)}$
negative_passages.docid: 92033
negative_passages.text: Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$