Question

Show that the Killing $k$ form of $u(\mathbb{C},3)$ is such that $k(x,y)=0$ $\forall x,y \in u(\mathbb{C},3)$

score 94 · Answer 1 · 2019-02-16 17:37:45

94

Views

Show that the Killing $k$ form of $u(\mathbb{C},3)$ is such that $k(x,y)=0$ $\forall x,y \in u(\mathbb{C},3)$

Published on 16 Feb 2019 - 17:37

score 102 · Answer 2 · 2026-03-25 09:26:07

102

Views

Understanding how the Lie algebra G2 arises in nature

Published on 25 Mar 2026 - 9:26

score 344 · Answer 3 · 2026-03-25 17:22:58

344

Views

Finding the Weyl group from a Cartan matrix

Published on 25 Mar 2026 - 17:22

score 73 · Answer 4 · 2019-02-17 14:44:08

73

Views

Proving Lie algebra isomorphism to $\mathfrak{sl}(2, \mathbb{C})$

Published on 17 Feb 2019 - 14:44

score 163 · Answer 5 · 2019-02-18 14:33:34

163

Views

Showing surjectivity of exponential map.

Published on 18 Feb 2019 - 14:33

score 67 · Answer 6 · 2019-02-19 23:56:14

67

Views

factoring a neighborhood of identity in a compact connected Lie group with a closed Lie subgroup

Published on 19 Feb 2019 - 23:56

score 210 · Answer 7 · 2019-02-20 16:31:13

210

Views

Complex structure on lie algebra?

Published on 20 Feb 2019 - 16:31

score 86 · Answer 8 · 2019-02-20 23:07:20

86

Views

Cartan involution coming from triangular decomposition.

Published on 20 Feb 2019 - 23:07

score 1.8k · Answer 9 · 2026-03-27 12:07:06

1.8k

Views

Good source of references for the classification of real semisimple Lie algebras

Published on 27 Mar 2026 - 12:07

score 981 · Answer 10 · 2019-02-22 09:33:28

981

Views

Question regarding the definition of ideal/subalgebra of a Lie algebra

Published on 22 Feb 2019 - 9:33

score 245 · Answer 11 · 2026-03-22 12:52:42

245

Views

Grasping the idea of Virasoro Algebras in 2D Conformal field theory

Published on 22 Mar 2026 - 12:52

score 92 · Answer 12 · 2026-03-25 17:53:04

92

Views

Continuous automorphism of a lie group in kobayashi's book

Published on 25 Mar 2026 - 17:53

score 33 · Answer 13 · 2026-03-26 01:09:27

33

Views

Exponential map of Lie brakets

Published on 26 Mar 2026 - 1:09

score 60 · Answer 14 · 2026-03-28 11:54:19

60

Views

G is matrix lie group such that there is $A\in G$, it is not written as $A=e^{X_1}....e^{X_m} $ for some $X_1,..X_m\in \mathfrak g$

Published on 28 Mar 2026 - 11:54

score 188 · Answer 15 · 2026-03-27 12:11:38

188

Views

Reference request: representation focused view of quantum mechanics

Published on 27 Mar 2026 - 12:11

List Question

Show that the Killing $k$ form of $u(\mathbb{C},3)$ is such that $k(x,y)=0$ $\forall x,y \in u(\mathbb{C},3)$

Understanding how the Lie algebra G2 arises in nature

Finding the Weyl group from a Cartan matrix

Proving Lie algebra isomorphism to $\mathfrak{sl}(2, \mathbb{C})$

Showing surjectivity of exponential map.

factoring a neighborhood of identity in a compact connected Lie group with a closed Lie subgroup

Complex structure on lie algebra?

Cartan involution coming from triangular decomposition.

Good source of references for the classification of real semisimple Lie algebras

Question regarding the definition of ideal/subalgebra of a Lie algebra

Grasping the idea of Virasoro Algebras in 2D Conformal field theory

Continuous automorphism of a lie group in kobayashi's book

Exponential map of Lie brakets

G is matrix lie group such that there is $A\in G$, it is not written as $A=e^{X_1}....e^{X_m} $ for some $X_1,..X_m\in \mathfrak g$

Reference request: representation focused view of quantum mechanics

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