List questions from lie-groups

550

Views

Quickest way to see that unitary group is $3$-fold intersection of orthogonal, symplectic, and complex groups?

Published on 19 Sep 2016 - 19:29

185

Views

If $\mathfrak g_1=\mathfrak g_2$ and they are simple, what can we say about the corresponding Lie groups?

Published on 20 Sep 2016 - 6:14

123

Views

Are all closed subgroups of $\mathrm{U}(n)$ given by polynomials?

Published on 20 Sep 2016 - 9:21

223

Views

Exp map in tangent bundle of Lie group (SO3)

Published on 26 Mar 2026 - 17:31

100

Views

Can we have infinitely many conjugacy classes of stabilizer subgroups?

Published on 30 Mar 2026 - 6:30

1.2k

Views

Different ways of seeing how $\text{SL}(2, \mathbb{R})$ is not simply connected?

Published on 20 Sep 2016 - 17:01

48

Views

Algebraic subalgebras

Published on 20 Sep 2016 - 18:32

122

Views

Group preserving a (hermitean) form in a vector space

Published on 20 Sep 2016 - 20:33

108

Views

Is $SU(n)$ a CW group?

Published on 25 Mar 2026 - 15:39

1.1k

Views

Bijection from Skew-Symmetric Matrices to Orthogonal Group

Published on 21 Sep 2016 - 12:11

795

Views

Curvature and adjoint bundle

Published on 25 Mar 2026 - 12:46

820

Views

How abundant are left-invariant metrics on a compact Lie group?

Published on 06 Apr 2026 - 11:56

173

Views

Why the chevalley $G/B$ and plucker $G/B$ are isomorphic $G$- projective varieties

Published on 27 Mar 2026 - 12:13

1.2k

Views

Showing that positive definite symmetric matrices have a smooth square root

Published on 28 Mar 2026 - 10:56

455

Views

Groups which are not Lie groups

Published on 22 Sep 2016 - 13:39

List Question

Quickest way to see that unitary group is $3$-fold intersection of orthogonal, symplectic, and complex groups?

If $\mathfrak g_1=\mathfrak g_2$ and they are simple, what can we say about the corresponding Lie groups?

Are all closed subgroups of $\mathrm{U}(n)$ given by polynomials?

Exp map in tangent bundle of Lie group (SO3)

Can we have infinitely many conjugacy classes of stabilizer subgroups?

Different ways of seeing how $\text{SL}(2, \mathbb{R})$ is not simply connected?

Algebraic subalgebras

Group preserving a (hermitean) form in a vector space

Is $SU(n)$ a CW group?

Bijection from Skew-Symmetric Matrices to Orthogonal Group

Curvature and adjoint bundle

How abundant are left-invariant metrics on a compact Lie group?

Why the chevalley $G/B$ and plucker $G/B$ are isomorphic $G$- projective varieties

Showing that positive definite symmetric matrices have a smooth square root

Groups which are not Lie groups

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