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15
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Commutators of matrices and vector fields

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#lie-groups #vector-fields #linear-groups
816
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Decomposition of the orthogonal group O(n) without determinants

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#abstract-algebra #algebraic-geometry #representation-theory #lie-groups #topological-groups
324
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Lie algebras homomorphism induces Lie groups homomorphism

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#lie-groups #lie-algebras
1k
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Is there a name for this construction? (group acting on vector bundle)

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#representation-theory #differential-topology #lie-groups
222
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Lie bracket between two vector fields in $\mathbb{R}^2$

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#lie-groups #lie-algebras #vector-fields
108
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Cohomology of Lie algebras

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#lie-groups #lie-algebras
70
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Canonical forms of the natural action of $O(n,\mathbb{C})$ on $sym(n,\mathbb{C})$

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#linear-algebra #lie-groups #lie-algebras #geometric-invariant-theory
118
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Cohomology of compact complex nilmanifolds

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#algebraic-topology #lie-groups #lie-algebras #homology-cohomology
61
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$GL(n,C)$ as a Lie group

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#group-theory #lie-groups
1.1k
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Abstract Proof that Exponential Map is Surjective onto $\mathrm{GL}_n(\mathbb{C})$

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#matrices #group-theory #lie-groups #lie-algebras #matrix-exponential
254
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Are matrix exponentials the only continuous homomorphisms $\mathbb R_+\to\mathcal M_n(\mathbb R)$?

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#linear-algebra #abstract-algebra #lie-groups #matrix-exponential
3.8k
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Left invariant vector fields, example

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#differential-geometry #lie-groups #lie-algebras #vector-fields
374
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Is there good source on Lie groups with no knowledge of differential manifolds or geometry?

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#reference-request #lie-groups
127
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Exercise on relatively open subsets

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#real-analysis #general-topology #lie-groups
384
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Roadmap to the geometry of lie groups and Duistermaat ideas.

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#differential-geometry #reference-request #lie-groups #ricci-flow #mean-curvature-flows

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