List questions from lie-groups

Published on 10 Apr 2026 - 14:11

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Performing integration over $U(d)$

Published on 11 Apr 2026 - 21:14

3.6k

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Why does the universal cover of $SL_{2}(\mathbb{R})$ have no finite-dimensional representations?

Published on 14 Apr 2026 - 9:51

808

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Adjoint action smooth (in Tapp's book)?

Published on 15 Apr 2026 - 9:57

410

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The simplest way to prove that any left-invariant vector field on a Lie group is complete

Published on 15 Apr 2026 - 19:00

94

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Representations of $U(d)$. Calculation of Gelfand-Zeitlin patterns for particular vectors.

Published on 17 Apr 2026 - 13:52

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Lie Group homomorphisms

Published on 15 Apr 2026 - 14:23

1.6k

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Fourier transform over Lie group

Published on 10 Apr 2026 - 0:56

714

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The connected Lie subgroups of a n-dimensional torus.

Published on 16 Apr 2026 - 9:59

654

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The Lie Algebra of a trivial Lie Group

Published on 12 Apr 2026 - 0:22

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Geometric intuition behind the Lie bracket of vector fields

Published on 16 Apr 2026 - 3:53

2k

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Why is $Sp(2m)$ as regular set of $f(A)=A^tJA-J$, and, hence a Lie group.

Published on 15 Apr 2026 - 12:08

480

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How can I lift a path to $\mathrm{Spin}(n)$?

Published on 10 Apr 2026 - 19:32

927

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Maximal Abelian Subgroup of SL(3,C)

Published on 15 Apr 2026 - 5:01

273

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$SL(3,\mathbb{C})$ acting on Complex Polynomials of $3$ variables of degree $2$

Published on 10 Apr 2026 - 13:42

List Question

What is $D_{5}$

Performing integration over $U(d)$

Why does the universal cover of $SL_{2}(\mathbb{R})$ have no finite-dimensional representations?

Adjoint action smooth (in Tapp's book)?

The simplest way to prove that any left-invariant vector field on a Lie group is complete

Representations of $U(d)$. Calculation of Gelfand-Zeitlin patterns for particular vectors.

Lie Group homomorphisms

Fourier transform over Lie group

The connected Lie subgroups of a n-dimensional torus.

The Lie Algebra of a trivial Lie Group

Geometric intuition behind the Lie bracket of vector fields

Why is $Sp(2m)$ as regular set of $f(A)=A^tJA-J$, and, hence a Lie group.

How can I lift a path to $\mathrm{Spin}(n)$?

Maximal Abelian Subgroup of SL(3,C)

$SL(3,\mathbb{C})$ acting on Complex Polynomials of $3$ variables of degree $2$

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