List questions from lie-groups

Published on 09 Apr 2026 - 8:51

35

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Tannaka–Krein duality in non-compact case

Published on 12 Apr 2026 - 6:01

71

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Show that $\lambda:G \to \mathbb{R}^\ast$ where $R_h^\ast \mu = \lambda (h) \mu$ is smooth

Published on 11 Apr 2026 - 18:40

122

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Geodesic distance in the (complex) projective unitary group

Published on 13 Apr 2026 - 8:26

39

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Homomorphisms $U(1) \to SU(2)$

Published on 14 Apr 2026 - 16:34

72

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Moving between $Sp_{2n}(\mathbb{C})$ reps and $SL_{n}(\mathbb{C})$ reps

Published on 20 Mar 2026 - 23:43

75

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Book on $SL(2,C)$

Published on 16 Apr 2026 - 0:34

49

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Seeking Left $SL(n, \mathbb{R})$-Invariant Canonicalization for Full-Rank Square Matrices

Published on 15 Apr 2026 - 23:53

84

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What it the group of transformation that leaves the commutator of two matrices invariant?

Published on 15 Apr 2026 - 19:46

37

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How to find restriction matrix for branching?

Published on 25 Mar 2026 - 17:52

103

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Dimension of $\mathfrak{sp}(2n, \mathbb{R})$

Published on 16 Apr 2026 - 1:02

53

Views

Are irreducible representations of the (complex) projective unitary group irreducible representations of the unitary group?

Published on 14 Apr 2026 - 2:20

90

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Is the Peter-Weyl theorem for $S^{1}$ equivalent to the Fourier Theorem?

Published on 15 Apr 2026 - 13:22

50

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Using characters prove that $V_{\lambda}\otimes V_{\mu}=\bigoplus^{\lambda+\mu}_{\nu=|\lambda-\mu|}V_{\nu}.$

Published on 15 Apr 2026 - 13:08

66

Views

Show that the lie brackets $ad(X_e)(Y_e)=[X,Y]_e$ coincide

Published on 15 Apr 2026 - 13:13

List Question

Definition of smooth action

Tannaka–Krein duality in non-compact case

Show that $\lambda:G \to \mathbb{R}^\ast$ where $R_h^\ast \mu = \lambda (h) \mu$ is smooth

Geodesic distance in the (complex) projective unitary group

Homomorphisms $U(1) \to SU(2)$

Moving between $Sp_{2n}(\mathbb{C})$ reps and $SL_{n}(\mathbb{C})$ reps

Book on $SL(2,C)$

Seeking Left $SL(n, \mathbb{R})$-Invariant Canonicalization for Full-Rank Square Matrices

What it the group of transformation that leaves the commutator of two matrices invariant?

How to find restriction matrix for branching?

Dimension of $\mathfrak{sp}(2n, \mathbb{R})$

Are irreducible representations of the (complex) projective unitary group irreducible representations of the unitary group?

Is the Peter-Weyl theorem for $S^{1}$ equivalent to the Fourier Theorem?

Using characters prove that $V_{\lambda}\otimes V_{\mu}=\bigoplus^{\lambda+\mu}_{\nu=|\lambda-\mu|}V_{\nu}.$

Show that the lie brackets $ad(X_e)(Y_e)=[X,Y]_e$ coincide

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