List questions from linear-groups

Published on 25 Mar 2026 - 16:03

203

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Book about linear groups

Published on 17 Oct 2020 - 10:17

838

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Why is $SL(n, \mathbb{R})$ the kernel of $\det : GL(n, \mathbb{R}) \mapsto\Bbb R^*$?

Published on 25 Mar 2026 - 16:01

1.2k

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Proof of the matrix form of the Lie algebra of $SU(2)$

Published on 26 Mar 2026 - 17:14

83

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Show that a complex, compact, abelian linear group is finite (using Liouville's theorem)

Published on 02 Dec 2020 - 13:35

37

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Generalizations of linear groups

Published on 03 Dec 2020 - 12:17

504

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Explicit isomorphism between ${\rm SL}(2,{\Bbb R})$ and ${\rm SU}(1,1)$

Published on 19 Dec 2020 - 19:15

21

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Reference for $SO_Q$ maximal in $SL_n$

Published on 22 Dec 2020 - 15:32

176

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about Cartan's theorem

Published on 25 Mar 2026 - 19:01

195

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Does $G$ being a subgroup of $GL(n, \mathbb Z/p\mathbb Z)$ for all odd primes $p$ imply it is a subgroup of $GL(n, \mathbb{Z})$?

Published on 09 Jan 2021 - 6:56

93

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Is $(\mathbb{C},+)$ isomorphic to a matrix Lie group?

Published on 23 Jan 2021 - 16:08

192

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$\mathbb{C}$ as the Lie algebra of $\mathbb{C}$

Published on 28 Jan 2021 - 11:45

240

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Show that $GL(2, \Bbb Q)$ is isomorphic to a subgroup of $GL(3, \Bbb Q)$

Published on 03 Mar 2021 - 5:29

70

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Is the exterior square of a projective faithful representation faithful?

Published on 04 Mar 2021 - 18:15

107

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How to show that the $ax+b$ group is locally compact?

Published on 25 Mar 2021 - 18:54

List Question

Groups between $\operatorname{GL}_n (R)$ and $\operatorname{SL}_n(R)$?

Book about linear groups

Why is $SL(n, \mathbb{R})$ the kernel of $\det : GL(n, \mathbb{R}) \mapsto\Bbb R^*$?

Proof of the matrix form of the Lie algebra of $SU(2)$

Show that a complex, compact, abelian linear group is finite (using Liouville's theorem)

Generalizations of linear groups

Explicit isomorphism between ${\rm SL}(2,{\Bbb R})$ and ${\rm SU}(1,1)$

Reference for $SO_Q$ maximal in $SL_n$

about Cartan's theorem

Does $G$ being a subgroup of $GL(n, \mathbb Z/p\mathbb Z)$ for all odd primes $p$ imply it is a subgroup of $GL(n, \mathbb{Z})$?

Is $(\mathbb{C},+)$ isomorphic to a matrix Lie group?

$\mathbb{C}$ as the Lie algebra of $\mathbb{C}$

Show that $GL(2, \Bbb Q)$ is isomorphic to a subgroup of $GL(3, \Bbb Q)$

Is the exterior square of a projective faithful representation faithful?

How to show that the $ax+b$ group is locally compact?

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