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Isomorphism of $so(3,\mathbb{C})$ and $sl(2,\mathbb{C})$ using basis elements

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#lie-algebras
149
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On proving that $[L^m, L^n] \subseteq L^{m+n}. $

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#abstract-algebra #proof-explanation #lie-algebras
49
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Binomial basis of polynomial ring

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#binomial-coefficients #lie-algebras
37
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How to find the dual and the orthogonal complement of this matrix space?

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#linear-algebra #lie-algebras
254
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Exterior covariant derivative of connection 1-forms

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#differential-geometry #lie-algebras #differential-forms #connections #principal-bundles
36
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Is there an ideal $J$ with $Ann(J)=0$ such that $J\subseteq I_1\cap\cdots\cap I_n$?

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#lie-algebras #ideals #nonassociative-algebras
58
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Why Leibniz algebras are called on this way?

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#terminology #lie-algebras #nonassociative-algebras
780
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Exponential of Lie bracket

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#lie-groups #lie-algebras
31
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About a characterization of solvability for Leibniz algebras

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#lie-algebras #nonassociative-algebras
151
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Real vs Complex Lie algebras

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#abstract-algebra #lie-algebras
149
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Homomorphism between Lie group and transformation groups

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#differential-geometry #lie-groups #lie-algebras
43
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Determine matrix associated with lie algebra representation

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#representation-theory #lie-algebras
94
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Show $\dim\{v\in V\mid bv=8v\}=0$ in $A_1$ module $V$

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#lie-algebras
39
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What is meant here by "element of the prime field corresponding to $a \in \mathbb{Z}$"?

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#lie-groups #lie-algebras #finite-fields #extension-field #groups-of-lie-type
39
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Finite-codimension ideal in profinite Lie algebras

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#lie-algebras #profinite-groups

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