List questions from linear-groups

Published on 17 Jun 2018 - 8:45

806

Views

Double cover of $SO(2)$

Published on 04 Jul 2018 - 14:14

94

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Orbits of a unipotent subgroup

Published on 06 Jul 2018 - 3:39

162

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

Published on 10 Jul 2018 - 21:10

59

Views

Abelian group action on a projective space

Published on 12 Jul 2018 - 22:35

82

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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 23 Jul 2018 - 13:32

68

Views

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

Published on 30 Jul 2018 - 9:17

873

Views

Iwasawa Matrix Decomposition Proof

Published on 04 Aug 2018 - 22:38

53

Views

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

Published on 11 Aug 2018 - 18:37

5.6k

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

Published on 31 Aug 2018 - 19:24

757

Views

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

Published on 24 Sep 2018 - 21:55

1k

Views

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

Published on 05 Oct 2018 - 6:03

827

Views

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

Published on 12 Oct 2018 - 9:01

401

Views

Algebra of SL(n, K) Lie group

Published on 20 Oct 2018 - 5:20

544

Views

Proving that a representation is irreducible

Published on 27 Oct 2018 - 17:19

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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