List questions from lie-groups

Published on 13 Jun 2018 - 17:56

63

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$\Lambda$ a lattice in $\Bbb{C}^g$, $\Bbb{C}^{g'}$ is subvector space of $\Bbb{C}^g$. $\Lambda$ image in $\frac{\Bbb{C}^g}{\Bbb{C}^{g'}}$ a lattice?

Published on 13 Jun 2018 - 22:57

112

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Normal Subgroups of Parabolic Groups in Simple Lie Groups

Published on 14 Jun 2018 - 2:31

1k

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Are the Lie groups $GL_n(\mathbb R)$ and $GL_n(\mathbb C)$ unimodular?

Published on 25 Mar 2026 - 7:32

85

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For a matrix Lie group when would matrix log and exponential be same as Riemannian log and exponential?

Published on 26 Mar 2026 - 0:52

326

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Connected Subgroups of $SL(2,\mathbb{R})$

Published on 16 Jun 2018 - 22:14

110

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Decomposition of Matrix Representation of a Parallelizable Riemannian Metric

Published on 25 Mar 2026 - 12:40

185

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Isomorphism $SO(3)\cong SU(2)/\{+I,-I\}$: is it just a group isomorphism?

Published on 25 Mar 2026 - 6:21

197

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Does the space of matrices above rank $k$ admit a transitive Lie group action?

Published on 25 Mar 2026 - 3:03

72

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Meaning of quotient torus in abelian manifold case

Published on 18 Jun 2018 - 21:21

140

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Unique Lie subgroup structure

Published on 19 Jun 2018 - 7:40

101

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Complex Lie group $\mathbb{C}^* $

Published on 19 Jun 2018 - 22:30

149

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Solving ODEs with Lie group element as dependent variable

Published on 23 Mar 2026 - 8:34

461

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Cartan subalgebra and orbits of the adjoint action

Published on 25 Mar 2026 - 6:12

34

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Equivalence of categroies between representations of $\operatorname{Sp}(2g;\mathbb{Q})$ and $\mathfrak{sp}(2g;\mathbb{Q})$.

Published on 25 Mar 2026 - 4:42

List Question

The (orbifold) space of symmetric complex matrix 3 - simplified

$\Lambda$ a lattice in $\Bbb{C}^g$, $\Bbb{C}^{g'}$ is subvector space of $\Bbb{C}^g$. $\Lambda$ image in $\frac{\Bbb{C}^g}{\Bbb{C}^{g'}}$ a lattice?

Normal Subgroups of Parabolic Groups in Simple Lie Groups

Are the Lie groups $GL_n(\mathbb R)$ and $GL_n(\mathbb C)$ unimodular?

For a matrix Lie group when would matrix log and exponential be same as Riemannian log and exponential?

Connected Subgroups of $SL(2,\mathbb{R})$

Decomposition of Matrix Representation of a Parallelizable Riemannian Metric

Isomorphism $SO(3)\cong SU(2)/\{+I,-I\}$: is it just a group isomorphism?

Does the space of matrices above rank $k$ admit a transitive Lie group action?

Meaning of quotient torus in abelian manifold case

Unique Lie subgroup structure

Complex Lie group $\mathbb{C}^* $

Solving ODEs with Lie group element as dependent variable

Cartan subalgebra and orbits of the adjoint action

Equivalence of categroies between representations of $\operatorname{Sp}(2g;\mathbb{Q})$ and $\mathfrak{sp}(2g;\mathbb{Q})$.

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