List questions from linear-groups

Published on 14 Apr 2026 - 13:51

811

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Double cover of $SO(2)$

Published on 15 Apr 2026 - 3:42

98

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Orbits of a unipotent subgroup

Published on 15 Apr 2026 - 15:46

166

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Is every subgroup of $SU(2)$ closed?

Published on 09 Apr 2026 - 10:27

63

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Abelian group action on a projective space

Published on 15 Apr 2026 - 17:58

85

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Is it true that $\mathrm{GL}_n(\mathbb{R})=\mathrm{SL}_n(\mathbb{R}) \oplus \{\lambda E : \lambda \in \mathbb{R}^{*}\}$

Published on 14 Apr 2026 - 12:04

70

Views

References for (especially two-dimensional) general linear groups over finite fields

Published on 09 Apr 2026 - 4:44

877

Views

Iwasawa Matrix Decomposition Proof

Published on 13 Apr 2026 - 12:20

56

Views

What is the maximal $m$, such that $\mathbb{Z}_2^m \leq GL(n, 2)$?

Published on 14 Apr 2026 - 23:55

5.6k

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Centre of the special linear group $SL_2(\mathbb R)$ or $SL(2,\mathbb R)$

Published on 15 Apr 2026 - 19:04

761

Views

Show that $\text{SO}(2)$ is compact.

Published on 14 Apr 2026 - 8:29

1k

Views

Prove that $SL(n,\mathbb{Z})$ is generated by $(n^2-n)$ elements.

Published on 15 Apr 2026 - 6:38

830

Views

Partitions by a subgroup of $GL_2(\mathbb R)$ of another subgroup of $GL_2(\mathbb R)$

Published on 13 Apr 2026 - 15:42

405

Views

Algebra of SL(n, K) Lie group

Published on 15 Apr 2026 - 19:49

547

Views

Proving that a representation is irreducible

Published on 11 Apr 2026 - 23:10

List Question

Isomorphism $SO(3)\cong SU(2)/\{+I,-I\}$: is it just a group isomorphism?

Double cover of $SO(2)$

Orbits of a unipotent subgroup

Is every subgroup of $SU(2)$ closed?

Abelian group action on a projective space

Is it true that $\mathrm{GL}_n(\mathbb{R})=\mathrm{SL}_n(\mathbb{R}) \oplus \{\lambda E : \lambda \in \mathbb{R}^{*}\}$

References for (especially two-dimensional) general linear groups over finite fields

Iwasawa Matrix Decomposition Proof

What is the maximal $m$, such that $\mathbb{Z}_2^m \leq GL(n, 2)$?

Centre of the special linear group $SL_2(\mathbb R)$ or $SL(2,\mathbb R)$

Show that $\text{SO}(2)$ is compact.

Prove that $SL(n,\mathbb{Z})$ is generated by $(n^2-n)$ elements.

Partitions by a subgroup of $GL_2(\mathbb R)$ of another subgroup of $GL_2(\mathbb R)$

Algebra of SL(n, K) Lie group

Proving that a representation is irreducible

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