The Ideal Tangent Space
The tangent space to a manifold \(M\) is usually defined in terms of derivations of smooth functions on \(M\). This definition works most of the time, but so...
Recent Posts
Lie Algebras of Matrix Groups
Let \(G \leq \mathrm{GL}(n;\mathbb{R})\) be a Lie group. Denote the Lie algebras of \(G\) and \(\mathrm{GL}(n;\mathbb{R})\) by \(\mathfrak{g}\) and \(\mathfr...