List questions from lie-groups

Published on 29 Mar 2026 - 19:17

47

Views

dφ is bijective but φ is not a lie group isomorphism

Published on 29 Mar 2026 - 17:24

108

Views

Deducing the additive Jordan decomposition

Published on 28 Mar 2026 - 8:37

375

Views

$Ker(exp_G )$ is discrete

Published on 29 Mar 2026 - 17:31

38

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Reducing the Dimensionality of the Sphere in terms of the Lie Algebra

Published on 25 Mar 2026 - 20:36

448

Views

Affine Group Scheme Definition

Published on 27 Mar 2026 - 6:36

209

Views

Linearization of the Pythagorean theorem with matrices

Published on 12 Apr 2019 - 17:39

50

Views

How to show a real matrix $A$ belongs to Indefinite Orthogonal Group $O(n;k)$?

Published on 25 Mar 2026 - 9:29

362

Views

Left translation on Lie group of a discrete subgroup is properly discontinuous

Published on 13 Apr 2019 - 12:32

23

Views

$U_{p,q}$ is bounded

Published on 27 Mar 2026 - 3:45

385

Views

Prove that representations of connected matrix Lie groups are equivalent iff their associated Lie algebra representations are

Published on 29 Mar 2026 - 19:11

235

Views

Characters of the fundamental representations of $SU(3)$

Published on 25 Mar 2026 - 14:25

106

Views

If $X,Y$ generates $\mathfrak{g}$ then $e^{tX}$ and $e^{tY}$ generates de Lie Group G.

Published on 29 Mar 2026 - 19:09

49

Views

Simple Lie algebra representations and tensor powers of fundamental representations

Published on 25 Mar 2026 - 17:37

359

Views

Is $\operatorname{SL}(n,\mathbb{R})/\operatorname{SL}(n, \mathbb{Z})$ a Hausdorff space?

Published on 25 Mar 2026 - 3:16

List Question

Expressing every element of a lie group as a product of exponentials?

dφ is bijective but φ is not a lie group isomorphism

Deducing the additive Jordan decomposition

$Ker(exp_G )$ is discrete

Reducing the Dimensionality of the Sphere in terms of the Lie Algebra

Affine Group Scheme Definition

Linearization of the Pythagorean theorem with matrices

How to show a real matrix $A$ belongs to Indefinite Orthogonal Group $O(n;k)$?

Left translation on Lie group of a discrete subgroup is properly discontinuous

$U_{p,q}$ is bounded

Prove that representations of connected matrix Lie groups are equivalent iff their associated Lie algebra representations are

Characters of the fundamental representations of $SU(3)$

If $X,Y$ generates $\mathfrak{g}$ then $e^{tX}$ and $e^{tY}$ generates de Lie Group G.

Simple Lie algebra representations and tensor powers of fundamental representations

Is $\operatorname{SL}(n,\mathbb{R})/\operatorname{SL}(n, \mathbb{Z})$ a Hausdorff space?

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