query: Elementary Lie theory : proving that the Lie bracket is a vector field? (well defined)
positive_passages.docid: 153707
positive_passages.text: Is the Lie bracket of two vector fields well defined?
negative_passages.docid: 39011
negative_passages.text: Understanding Poisson brackets
negative_passages.docid: 81486
negative_passages.text: Is any divergence-free curl-free vector field necessarily constant?
negative_passages.docid: 68526
negative_passages.text: Polynomials as vector spaces?
negative_passages.docid: 117986
negative_passages.text: Are there linear transformations from vector spaces over different fields?
negative_passages.docid: 35337
negative_passages.text: Problem in notation: $(\vec{v}\cdot\vec{\nabla})\vec{v}$ versus $L_v(\vec{v})$
negative_passages.docid: 41520
negative_passages.text: Prove that $L(V,W)$ forms a vector space
negative_passages.docid: 82637
negative_passages.text: Does there exist a non-trivial, associative Lie algebra?
negative_passages.docid: 7828
negative_passages.text: Proof that an integral domain that is a finite-dimensional $F$-vector space is in fact a field
negative_passages.docid: 116159
negative_passages.text: Derivations on semisimple Lie algebra
negative_passages.docid: 48524
negative_passages.text: Existence proof of the tensor product using the Adjoint functor theorem.
negative_passages.docid: 19671
negative_passages.text: Does the "field" over which a vector space is defined have to be a Field?
negative_passages.docid: 112187
negative_passages.text: Is there a way to see that $ \nabla_\mu g_{\nu \rho} = 0 $ without explicit computation, where $\nabla_\mu$ refers to the covariant derivative?
negative_passages.docid: 10953
negative_passages.text: Elementary argument for conservation laws from symmetries *without* using the Lagrangian formalism
negative_passages.docid: 137451
negative_passages.text: Does there exist a differentiable conservative vector field with non - vanishing curl?
negative_passages.docid: 23535
negative_passages.text: Describing the Lie algebra structure of a semi-direct product of Lie groups
negative_passages.docid: 107594
negative_passages.text: Lie bracket for Lie algebra of $SO(n,m)$