List questions from lie-groups

Published on 15 Apr 2026 - 19:13

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Does the algebraic group E8 ever "collate" two sets of copies of the algebraic group E6?

Published on 13 Apr 2026 - 19:51

104

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How does $\mathrm{SL}_{3}(\mathbb{R})$ act on some space in the way that $\mathrm{SL}_{2}(\mathbb{R})$ acts on the upper half plane in $\mathbb{C}$?

Published on 13 Apr 2026 - 21:58

55

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Fiber bundle over $SL_2(\mathbb C)/\mathbb C^*$

Published on 13 Apr 2026 - 13:21

545

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action of a compact group is closed

Published on 14 May 2026 - 18:11

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Every Irreducible Representation of a Compact Group is Finite-Dimensional

Published on 12 Apr 2026 - 8:39

665

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What is the "submersion principle?" Showing that $SL_n(R)$ is a submanifold of $GL_n(R)$.

Published on 28 Mar 2026 - 16:57

199

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Orientation preserving isometries on a hyperboloid

Published on 14 Apr 2026 - 12:51

130

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unitary matrix with an unusual constraint

Published on 12 Apr 2026 - 7:44

1.8k

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Left invariant vector field induces constant components

Published on 16 Apr 2026 - 4:53

116

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Identical left- and right isoclinic rotations

Published on 15 Apr 2026 - 8:10

943

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Lie group representation, exponential, and $\theta$-periodicty

Published on 15 Apr 2026 - 0:08

173

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How is orthonormal basis $\{e^{2πikt}\}_{k=-\infty}^\infty$ with index going to $-\infty$ constructed in $L^2(\Bbb S^1)$?

Published on 15 Apr 2026 - 19:30

415

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Derivation of the determinant as a natural transformation on commutative rings

Published on 13 Apr 2026 - 17:51

32

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Does anyone know of any specific "eutactic hyperstars"?

Published on 14 Apr 2026 - 19:53

List Question

Geometry of $Sp(2N,R)/U(N)$

Does the algebraic group E8 ever "collate" two sets of copies of the algebraic group E6?

How does $\mathrm{SL}_{3}(\mathbb{R})$ act on some space in the way that $\mathrm{SL}_{2}(\mathbb{R})$ acts on the upper half plane in $\mathbb{C}$?

Fiber bundle over $SL_2(\mathbb C)/\mathbb C^*$

action of a compact group is closed

Every Irreducible Representation of a Compact Group is Finite-Dimensional

What is the "submersion principle?" Showing that $SL_n(R)$ is a submanifold of $GL_n(R)$.

Orientation preserving isometries on a hyperboloid

unitary matrix with an unusual constraint

Left invariant vector field induces constant components

Identical left- and right isoclinic rotations

Lie group representation, exponential, and $\theta$-periodicty

How is orthonormal basis $\{e^{2πikt}\}_{k=-\infty}^\infty$ with index going to $-\infty$ constructed in $L^2(\Bbb S^1)$?

Derivation of the determinant as a natural transformation on commutative rings

Does anyone know of any specific "eutactic hyperstars"?

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