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finding riemannian metric on $G=\operatorname{SL}_n(\mathbb{R})$ with given geodesics

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#lie-groups #riemannian-geometry #geodesic
66
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Differential on Lie group $SO(3)$

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#differential-geometry #lie-groups #lie-algebras #closed-form
93
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If $\phi : G \to G$ is a Lie group automorphism without fixed points, is $g^{-1}\phi(g)$ surjective?

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#differential-geometry #lie-groups
895
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Does semisimple element of a semisimple complex Lie algebra belong to some Cartan subalgebra?

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#algebraic-geometry #representation-theory #lie-groups #lie-algebras #algebraic-groups
38
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Understanding Reward Function $R:\mathbb{R}^6 \to \mathbb{R}$ by Visualizing

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#optimization #lie-groups #lie-algebras #machine-learning
830
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Haar measure on SU(n)

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#group-theory #lie-groups #volume #haar-measure
42
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The $3$-form $\text{trace}(\left[x,y \right] \cdot z)$ on $SO(n)$

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#differential-geometry #lie-groups #differential-forms
139
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Structure Constants Lie Algebra Quaternions

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#lie-groups #lie-algebras #quaternions
36
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Inducing Lie group homomorphism from $ SL(4,\mathbb{C})$ to $O(6,\mathbb{C})$.

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#lie-groups #lie-algebras
1.2k
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Volume element of Haar measure on SO(3) with Euler angle parametrization

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#lie-groups #rotations #angle #orientation #haar-measure
356
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Result of Parallel transport along geodesic on $U(n)$

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#differential-geometry #optimization #lie-groups #lie-algebras
448
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Is $SU(n) \subset \text{Spin}(2n)$?

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#lie-groups #lie-algebras #spin-geometry #unitary-matrices
180
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A question on Lie algebra

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#lie-groups #lie-algebras
764
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What are the two dimensional abelian Lie subgroups of SL(2,R)?

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#abstract-algebra #lie-groups #lie-algebras #low-dimensional-topology #semisimple-lie-algebras
122
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Lie group actions on Symplectic manifold

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#differential-geometry #lie-groups #lie-algebras #symplectic-geometry #lie-derivative

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