Question

Are the adjoint and co-adjoint representations isomorphic?

score 153 · Answer 1 · 2026-04-04 06:59:05

153

Views

Are the adjoint and co-adjoint representations isomorphic?

Published on 04 Apr 2026 - 6:59

score 184 · Answer 2 · 2026-04-04 06:55:30

184

Views

Exponential Map, Cross Product

Published on 04 Apr 2026 - 6:55

score 76 · Answer 3 · 2026-04-04 07:04:05

76

Views

How can I show $ X(f)(\sigma) = \frac{d}{dt}\vert_{t=0} \ [f(\sigma \exp (tX))]$

Published on 04 Apr 2026 - 7:04

score 60 · Answer 4 · 2020-01-24 21:12:10

60

Views

Leibniz Algebras in physics

Published on 24 Jan 2020 - 21:12

score 72 · Answer 5 · 2026-04-01 21:34:05

72

Views

Making sense of this seemingly circular argument about $2$-dimensional Lie algebras

Published on 01 Apr 2026 - 21:34

score 90 · Answer 6 · 2026-04-04 07:00:24

90

Views

$X$ left invariant $\Rightarrow$ $d\phi (X)$ right invariant

Published on 04 Apr 2026 - 7:00

score 99 · Answer 7 · 2026-03-31 09:17:57

99

Views

One parameter subgroup of special Euclidean group

Published on 31 Mar 2026 - 9:17

score 55 · Answer 8 · 2026-04-04 07:04:00

55

Views

Consecuence of the existence of isomorphism $\mathbb{R}^3\rightarrow \mathfrak{o}(3)$

Published on 04 Apr 2026 - 7:04

score 34 · Answer 9 · 2026-04-04 06:58:54

34

Views

Proving that $T_e(U(n))\subset \mathfrak{u}(n)$

Published on 04 Apr 2026 - 6:58

score 135 · Answer 10 · 2026-04-04 07:03:28

135

Views

Abelian ideal of 8-dimensional nilpotent Lie algebra

Published on 04 Apr 2026 - 7:03

score 34 · Answer 11 · 2026-04-04 08:38:09

34

Views

For a representation of a lie group, the subset of points invariant with repsect to a given linear space is a closed subspace.

Published on 04 Apr 2026 - 8:38

score 48 · Answer 12 · 2020-01-28 13:28:42

48

Views

Almost diagonalisation of $\mathfrak{so}_{p,q}(\mathbb{R})$

Published on 28 Jan 2020 - 13:28

score 58 · Answer 13 · 2026-04-02 05:23:21

58

Views

Algorithm for decomposing an element of a free Lie algebra in terms of Hall basis

Published on 02 Apr 2026 - 5:23

score 75 · Answer 14 · 2026-04-04 08:34:38

75

Views

Lie algebra of a lie subgroup and relation between induced representation

Published on 04 Apr 2026 - 8:34

score 69 · Answer 15 · 2026-04-04 08:36:15

69

Views

Is $X=a^2+b^2+c^2+d^2+e^2+f^2$ an invariance group of $SU(3)$?

Published on 04 Apr 2026 - 8:36

List Question

Are the adjoint and co-adjoint representations isomorphic?

Exponential Map, Cross Product

How can I show $ X(f)(\sigma) = \frac{d}{dt}\vert_{t=0} \ [f(\sigma \exp (tX))]$

Leibniz Algebras in physics

Making sense of this seemingly circular argument about $2$-dimensional Lie algebras

$X$ left invariant $\Rightarrow$ $d\phi (X)$ right invariant

One parameter subgroup of special Euclidean group

Consecuence of the existence of isomorphism $\mathbb{R}^3\rightarrow \mathfrak{o}(3)$

Proving that $T_e(U(n))\subset \mathfrak{u}(n)$

Abelian ideal of 8-dimensional nilpotent Lie algebra

For a representation of a lie group, the subset of points invariant with repsect to a given linear space is a closed subspace.

Almost diagonalisation of $\mathfrak{so}_{p,q}(\mathbb{R})$

Algorithm for decomposing an element of a free Lie algebra in terms of Hall basis

Lie algebra of a lie subgroup and relation between induced representation

Is $X=a^2+b^2+c^2+d^2+e^2+f^2$ an invariance group of $SU(3)$?

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