List questions from lie-groups

Published on 29 Mar 2026 - 6:30

77

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Why $B=\sum_{n\geq 0}\frac{\theta^n}{n!}J^n$ where $J:=\left( \matrix{0&-1\\ 1&0}\right)$?

Published on 20 Oct 2019 - 2:56

53

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Derivative of map from into endomorphisms of $\mathbb{H}$

Published on 20 Oct 2019 - 14:18

80

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How to go about determining the number of constraints from a matrix equation?

Published on 20 Oct 2019 - 20:05

463

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Show that $\mathfrak{so}(4)\cong \mathfrak{so}(3)\oplus \mathfrak{so}(3)$

Published on 01 Apr 2026 - 18:53

47

Views

One-dimensional isotropy group in a two-torus

Published on 23 Oct 2019 - 15:52

168

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Trouble with definition of a lattice: Meaning of finite volume of $\Gamma\setminus G$

Published on 23 Oct 2019 - 20:41

31

Views

A Lie group representation where trace cannot send non-conjugate elements to the same thing

Published on 24 Oct 2019 - 16:55

25

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Smooth Maps to Set of Conjugacy classes

Published on 25 Oct 2019 - 9:00

154

Views

Fundamental Theorem on Lie Algebra Actions

Published on 26 Oct 2019 - 5:48

211

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Section $G:\mathbb{D}\longrightarrow \text{SU}(1,1)$?

Published on 26 Oct 2019 - 5:59

37

Views

Prove that $X_p$ is a vector at $p$

Published on 28 Mar 2026 - 9:44

114

Views

Faithfulness of an induced representation of a Lie algebra

Published on 26 Oct 2019 - 12:43

64

Views

Tangent space of lie subgroup

Published on 26 Oct 2019 - 23:30

86

Views

Confusion about dimension of Lie algebras, and 'isomorphism between Lie algebras'

Published on 25 Mar 2026 - 19:06

List Question

Show that $SU(2)\times SU(2)/\ker(\varphi)\cong SO(4)$

Why $B=\sum_{n\geq 0}\frac{\theta^n}{n!}J^n$ where $J:=\left( \matrix{0&-1\\ 1&0}\right)$?

Derivative of map from into endomorphisms of $\mathbb{H}$

How to go about determining the number of constraints from a matrix equation?

Show that $\mathfrak{so}(4)\cong \mathfrak{so}(3)\oplus \mathfrak{so}(3)$

One-dimensional isotropy group in a two-torus

Trouble with definition of a lattice: Meaning of finite volume of $\Gamma\setminus G$

A Lie group representation where trace cannot send non-conjugate elements to the same thing

Smooth Maps to Set of Conjugacy classes

Fundamental Theorem on Lie Algebra Actions

Section $G:\mathbb{D}\longrightarrow \text{SU}(1,1)$?

Prove that $X_p$ is a vector at $p$

Faithfulness of an induced representation of a Lie algebra

Tangent space of lie subgroup

Confusion about dimension of Lie algebras, and 'isomorphism between Lie algebras'

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