Question

Maximally commuting structure inside a nonabelian Lie group [SU($N$), SO($N$)]

score 59 · Answer 1 · 2026-03-25 10:55:38

59

Views

Maximally commuting structure inside a nonabelian Lie group [SU($N$), SO($N$)]

Published on 25 Mar 2026 - 10:55

score 116 · Answer 2 · 2026-03-24 23:46:02

116

Views

Show that $\bar G=\left\{ \begin{pmatrix} e^{it} & 0 \\ 0 & e^{is} \\ \end{pmatrix}| t ,s \in \Bbb R\right\}$.

Published on 24 Mar 2026 - 23:46

score 39 · Answer 3 · 2026-03-25 09:29:56

Let $G\subset GL(n,\mathbb{R})$ be a connected linear Lie group. Asumme that $[\frak{g},\frak{g}] = \frak{g}$. Show that $G\subset SL(n,\mathbb{R})$.

score 9.2k · Answer 4 · 2026-03-17 15:54:31

9.2k

Views

Commutators of tensor product of Pauli matrices

Published on 17 Mar 2026 - 15:54

score 48 · Answer 5 · 2026-03-25 10:47:37

48

Views

Multiplicatively Closed subset of universal enveloping algebra $U(\mathfrak{g})$ which is not left localisable

Published on 25 Mar 2026 - 10:47

score 90 · Answer 6 · 2018-02-16 19:40:53

90

Views

How to calculate ad(X)?

Published on 16 Feb 2018 - 19:40

score 29 · Answer 7 · 2018-02-16 20:28:47

29

Views

Identify $\mathfrak{b}_+^*$ with $\mathfrak{b}_-$.

Published on 16 Feb 2018 - 20:28

score 40 · Answer 8 · 2026-03-25 07:47:37

40

Views

Explanation for multiplicities

Published on 25 Mar 2026 - 7:47

score 65 · Answer 9 · 2026-03-24 23:45:47

65

Views

Does a finite $SU(2,q^2)$ act transitively on the set of rays?

Published on 24 Mar 2026 - 23:45

score 188 · Answer 10 · 2018-02-17 21:26:32

188

Views

Recovering a manifold from its Lie algebra of vector fields

Published on 17 Feb 2018 - 21:26

score 80 · Answer 11 · 2018-02-19 12:42:05

80

Views

Prove that $T=T_xR$ with $x\in \Bbb R^n$ and $R\in O(n)$

Published on 19 Feb 2018 - 12:42

score 190 · Answer 12 · 2018-02-19 15:38:36

190

Views

Rings as a particular case of Lie algebras

Published on 19 Feb 2018 - 15:38

score 1.4k · Answer 13 · 2026-03-25 06:07:03

1.4k

Views

Why is half the sum of positive roots equal to the sum of fundamental weights?

Published on 25 Mar 2026 - 6:07

score 36 · Answer 14 · 2018-02-20 00:51:55

36

Views

Reference Request- Closedness of Lie subgroups.

Published on 20 Feb 2018 - 0:51

score 442 · Answer 15 · 2026-03-22 17:02:04

442

Views

Show that $\exp: \mathfrak h \to \mathfrak H$ is a bijection.

Published on 22 Mar 2026 - 17:02

List Question

Maximally commuting structure inside a nonabelian Lie group [SU($N$), SO($N$)]

Show that $\bar G=\left\{ \begin{pmatrix} e^{it} & 0 \\ 0 & e^{is} \\ \end{pmatrix}| t ,s \in \Bbb R\right\}$.

Let $G\subset GL(n,\mathbb{R})$ be a connected linear Lie group. Asumme that $[\frak{g},\frak{g}] = \frak{g}$. Show that $G\subset SL(n,\mathbb{R})$.

Commutators of tensor product of Pauli matrices

Multiplicatively Closed subset of universal enveloping algebra $U(\mathfrak{g})$ which is not left localisable

How to calculate ad(X)?

Identify $\mathfrak{b}_+^*$ with $\mathfrak{b}_-$.

Explanation for multiplicities

Does a finite $SU(2,q^2)$ act transitively on the set of rays?

Recovering a manifold from its Lie algebra of vector fields

Prove that $T=T_xR$ with $x\in \Bbb R^n$ and $R\in O(n)$

Rings as a particular case of Lie algebras

Why is half the sum of positive roots equal to the sum of fundamental weights?

Reference Request- Closedness of Lie subgroups.

Show that $\exp: \mathfrak h \to \mathfrak H$ is a bijection.

Trending Questions

Popular # Hahtags

Popular Questions