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How are stronger $H^n \subseteq P$ or $H \subseteq \sqrt{P}$?

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#linear-algebra #abstract-algebra #lie-algebras #ideals
717
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Explicit isomorphism between the four dimensional orthogonal Lie algebra and the direct sum of special linear Lie algebras of dimension 3.

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#abstract-algebra #lie-algebras
53
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Is there a proof of Engel's theorem that does not rely on representations?

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#lie-algebras
507
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Validity of the Baker-Campbell-Hausdorff formula when convergent

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#lie-algebras #matrix-exponential
135
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Is there a prime ideal of $gl_n$

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#abstract-algebra #proof-writing #proof-explanation #lie-algebras
240
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Questions on a proof in do Carmo's Riemannian Geometry - Computations with Lie groups and Lie algebras

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#differential-geometry #lie-groups #riemannian-geometry #lie-algebras
371
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Non-existence of semi-simple Lie algebras with dimension $4$ or $5$

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#lie-algebras #semisimple-lie-algebras
1.1k
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Fundamental representation of $\mathfrak{so}(3)$ from the highest weight method

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#group-theory #representation-theory #lie-groups #lie-algebras
239
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the Cartan subalgebra and a argument of the sum of two diagonalizable endomorphisms

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#proof-explanation #lie-algebras #solution-verification #diagonalization #semisimple-lie-algebras
110
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How to find $d\phi(I)$ where $\phi(A)=AA^T$

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#derivatives #differential-geometry #lie-groups #lie-algebras
42
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Decomposition of the space of two-forms

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#linear-algebra #representation-theory #lie-groups #lie-algebras #inner-products
279
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If $H$ is Lie subgroup embedded in a Lie group $G$, then $H$ is closed

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#differential-geometry #lie-groups #lie-algebras
323
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Examples for reductive Lie-groups

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#lie-groups #lie-algebras #algebraic-groups
211
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A Lie group acting on a manifold induces an action by symplectomorphisms on its cotangent bundle

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#lie-groups #lie-algebras
149
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Are there Lie algebra ideals with proper radical?

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#abstract-algebra #lie-algebras #ideals #maximal-and-prime-ideals

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