Deriving the formula for Lie bracket from taking the derivative of the Adjoint map
46567
Derivatives of inverse matrix
100007
Express partial derivatives of second order (and the Laplacian) in polar coordinates
64463
Proof that angle-preserving map is conformal
111883
Representations of a product of Lie groups
29470
Problem involving Derivative and Antiderivative operators in Hoffman and Kunze's Linear Algebra
139631
How to take this exterior derivative of the expression $du - \sum_i p_i dx_i$?
20280
Proving that expression is equivalent to the definition of derivative
116718
Motivating the ansatz for the infinitesimal translation operator
23535
Describing the Lie algebra structure of a semi-direct product of Lie groups
13371
Show that the Lie algebra generated by x, y with relations $ad(x)^2(y) = ad(y)^5(x) = 0$ is infinite dimensional and construct a basis
41407
How to derive or justify the expressions of momentum operator and energy operator?
107594
Lie bracket for Lie algebra of $SO(n,m)$
56275
Vector derivative w.r.t its transpose $\frac{d(Ax)}{d(x^T)}$
62219
Under what conditions is the exponential map on a Lie algebra injective?
33949
Leibniz Rule for Covariant derivatives
94173
Deriving the Lagrangian for a free particle
46669
How can I prove these are the adjoint operators?