List questions from lie-groups

Published on 10 Apr 2026 - 18:15

303

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Non-surjectivity of $\exp$ map for non-compact Lie group.

Published on 28 Mar 2026 - 5:59

125

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What's the geometry of the double coset space?

Published on 10 Apr 2026 - 17:37

444

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Alternative Cartan Subalgebra of ${\frak sl}{n}$

Published on 15 Apr 2026 - 11:08

74

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LCG has an open $\sigma$-compact subgroup in form of $\cup_{n=1}^{\infty}V^n$

Published on 14 Apr 2026 - 12:25

446

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"Weights of a representation of $\mathfrak{sl}_3$." What does the picture mean?

Published on 11 May 2026 - 6:57

642

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The Lie algebra of every commutative Lie group carries a trivial lie bracket

Published on 15 Apr 2026 - 14:13

234

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Relative velocity with moving reference frames

Published on 27 Mar 2026 - 10:16

176

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Mathematical properties of Minkowski spacetime(3+1) and its isometry group

Published on 14 Apr 2026 - 15:02

170

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Common matrix rep of de Sitter, Poincare and anti de Sitter Lie algebra elements

Published on 11 Apr 2026 - 0:42

144

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Action of Lie group on a manifold with boundary

Published on 16 Apr 2026 - 23:05

162

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Is a certain inverse image under an equivariant map a submanifold?

Published on 12 Apr 2026 - 19:24

62

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Find an element of $SO(1,2)$ such that is not diagonalisable in $\mathbb{C}$

Published on 19 Apr 2026 - 15:21

2.1k

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If $\mathfrak{so}(3)$ is the Lie algebra of $SO(3)$ then why are the matrices of $\mathfrak{so}(3)$ not rotation matrices?

Published on 16 Apr 2026 - 10:42

153

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Constructing Fiber Bundles with Homogeneous Spaces

Published on 26 Mar 2026 - 2:58

List Question

About a right $K$-invariant function on the motion group

Non-surjectivity of $\exp$ map for non-compact Lie group.

What's the geometry of the double coset space?

Alternative Cartan Subalgebra of ${\frak sl}{n}$

LCG has an open $\sigma$-compact subgroup in form of $\cup_{n=1}^{\infty}V^n$

"Weights of a representation of $\mathfrak{sl}_3$." What does the picture mean?

The Lie algebra of every commutative Lie group carries a trivial lie bracket

Relative velocity with moving reference frames

Mathematical properties of Minkowski spacetime(3+1) and its isometry group

Common matrix rep of de Sitter, Poincare and anti de Sitter Lie algebra elements

Action of Lie group on a manifold with boundary

Is a certain inverse image under an equivariant map a submanifold?

Find an element of $SO(1,2)$ such that is not diagonalisable in $\mathbb{C}$

If $\mathfrak{so}(3)$ is the Lie algebra of $SO(3)$ then why are the matrices of $\mathfrak{so}(3)$ not rotation matrices?

Constructing Fiber Bundles with Homogeneous Spaces

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