Question

What is the $\frac{1}{2}$ representation of $U(1)$?

score 1.1k · Answer 1 · 2026-03-25 03:02:56

1.1k

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What is the $\frac{1}{2}$ representation of $U(1)$?

Published on 25 Mar 2026 - 3:02

score 148 · Answer 2 · 2016-09-12 10:49:22

148

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Weights for $sl_{2}(\mathbb{C})$-irreducible representations

Published on 12 Sep 2016 - 10:49

score 1k · Answer 3 · 2016-09-12 12:39:42

1k

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Lie algbra so(2n)?

Published on 12 Sep 2016 - 12:39

score 347 · Answer 4 · 2026-03-26 09:42:38

347

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Jacobian of a parameterized homography ? $\frac{\partial{w(p)(x)}}{\partial{p}}$

Published on 26 Mar 2026 - 9:42

score 287 · Answer 5 · 2026-04-07 11:02:26

287

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Semisimple Lie algebras with invariant inner-products give compact Lie groups

Published on 07 Apr 2026 - 11:02

score 1k · Answer 6 · 2026-03-25 14:25:17

1k

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Is the physicist's notion of the generalized Dynkin index of a representation of a Lie-Algebra well defined?

Published on 25 Mar 2026 - 14:25

score 1.4k · Answer 7 · 2026-03-28 08:42:11

1.4k

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Is the adjoint representation of $SU(2)$ its triplet representation?

Published on 28 Mar 2026 - 8:42

score 2k · Answer 8 · 2026-04-06 11:53:04

2k

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Exponential of a vector field

Published on 06 Apr 2026 - 11:53

score 427 · Answer 9 · 2026-04-07 11:01:38

427

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representations of real forms of simple lie algebra

Published on 07 Apr 2026 - 11:01

score 2k · Answer 10 · 2026-03-26 08:03:16

2k

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Prove that Lie bracket and Lie derivative satisfy $[\mathcal L_X,\mathcal L_Y]=\mathcal L_{[X,Y]}$, for all vector fields $X,Y$

Published on 26 Mar 2026 - 8:03

score 35 · Answer 11 · 2026-03-26 08:02:40

35

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Show that there is at most one reflection $T$ of $V$ such that $T(a)=-a$ and $T(R)=R$.

Published on 26 Mar 2026 - 8:02

score 576 · Answer 12 · 2026-04-07 11:03:49

576

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Show that $\mathfrak {h}$ is maximal toral sualgebra iff $C_{\mathfrak {g}}(\mathfrak {h})=\mathfrak {h}$

Published on 07 Apr 2026 - 11:03

score 91 · Answer 13 · 2026-04-06 21:22:16

91

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Finite-dimensionality of modules over simple Lie superalgebras

Published on 06 Apr 2026 - 21:22

score 714 · Answer 14 · 2026-04-07 11:07:08

714

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Complexification of Lie groups

Published on 07 Apr 2026 - 11:07

score 186 · Answer 15 · 2026-04-07 12:31:58

186

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

Published on 07 Apr 2026 - 12:31

List Question

What is the $\frac{1}{2}$ representation of $U(1)$?

Weights for $sl_{2}(\mathbb{C})$-irreducible representations

Lie algbra so(2n)?

Jacobian of a parameterized homography ? $\frac{\partial{w(p)(x)}}{\partial{p}}$

Semisimple Lie algebras with invariant inner-products give compact Lie groups

Is the physicist's notion of the generalized Dynkin index of a representation of a Lie-Algebra well defined?

Is the adjoint representation of $SU(2)$ its triplet representation?

Exponential of a vector field

representations of real forms of simple lie algebra

Prove that Lie bracket and Lie derivative satisfy $[\mathcal L_X,\mathcal L_Y]=\mathcal L_{[X,Y]}$, for all vector fields $X,Y$

Show that there is at most one reflection $T$ of $V$ such that $T(a)=-a$ and $T(R)=R$.

Show that $\mathfrak {h}$ is maximal toral sualgebra iff $C_{\mathfrak {g}}(\mathfrak {h})=\mathfrak {h}$

Finite-dimensionality of modules over simple Lie superalgebras

Complexification of Lie groups

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

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