query: Lie algebra of a semi-direct product of Lie groups
positive_passages.docid: 23535
positive_passages.text: Describing the Lie algebra structure of a semi-direct product of Lie groups
negative_passages.docid: 43303
negative_passages.text: Which Lie groups have Lie algebras admitting an Ad-invariant inner product?
negative_passages.docid: 66863
negative_passages.text: How is the quotient group related to the direct product group?
negative_passages.docid: 115414
negative_passages.text: Lie Algebra of $SL_n(\mathbb H)$
negative_passages.docid: 146772
negative_passages.text: Poisson brackets of three dimensional angular momentum and its Lie algebra
negative_passages.docid: 15686
negative_passages.text: Product of a Lie ideal with a subalgebra
negative_passages.docid: 148720
negative_passages.text: Reference for Lie-algebra valued differential forms
negative_passages.docid: 75391
negative_passages.text: How to prove that a left-invariant metric on a Lie group is smooth?
negative_passages.docid: 149772
negative_passages.text: How can a Lie subgroup of a matrix Lie group not be a matrix Lie group
negative_passages.docid: 121257
negative_passages.text: Image of Homomorphism of Lie groups
negative_passages.docid: 18893
negative_passages.text: $\varphi:G\to H$ is a Lie Group Homomorphism, then $\ker \varphi$ has Lie algebra $\ker D_e \varphi$
negative_passages.docid: 114569
negative_passages.text: How do you find the Lie algebra of a Lie group (in practice)?
negative_passages.docid: 66471
negative_passages.text: Is trace of regular representation in Lie group a delta function?
negative_passages.docid: 33868
negative_passages.text: A transformation between two free group actions.
negative_passages.docid: 121636
negative_passages.text: General linear group of a vector space
negative_passages.docid: 96770
negative_passages.text: Explicit isomorphism between the four dimensional orthogonal Lie algebra and the direct sum of special linear Lie algebras of dimension 3.
negative_passages.docid: 116750
negative_passages.text: On surjectivity of exponential map for Lie groups