List questions from classical-groups

Published on 22 Jan 2017 - 23:39

62

Views

An explicit isomorphism between $\mathbb{R}^+ \times {\rm Spin}^c(3,1)$ and ${\rm GL}^+(2,\mathbb{R})\times {\rm GL}^+(2,\mathbb{R})$?

Published on 24 Feb 2023 - 0:33

66

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maximal subgroup of the general linear group

Published on 27 Sep 2023 - 21:51

63

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Fundmental groups of matrix groups and covering relation between them

Published on 21 Oct 2023 - 11:29

141

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Involutions in PCO

Published on 22 Feb 2024 - 9:32

106

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Finding stabilizer under group action (Erlangen)

Published on 30 Mar 2015 - 14:31

96

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Relation between general linear groups for subfield $K$ of $F$ of finite index.

Published on 16 Sep 2015 - 16:09

220

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An automorphism that is not inner.

Published on 22 Jan 2016 - 22:16

163

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Regarding the representation theory of $SL_2(\mathbf{R})$.

Published on 23 Jan 2016 - 11:32

80

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Product of the norms of two vectors w.r.t a symmetric bilinear form

Published on 12 Feb 2016 - 15:47

196

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Which finite simple groups contain $PSL(2,q)$ for some $q\geq 4$?

Published on 17 Feb 2016 - 23:15

34

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Subgroup structure description

Published on 21 Feb 2016 - 18:29

595

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How to write a given element of the orthogonal group as a product of reflections

Published on 01 Mar 2016 - 15:32

181

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Finding the spinor norm of an element using a proposition in 'The Maximal Subgroups of the Low-Dimensional Finite Classical Groups'.

Published on 16 Mar 2016 - 14:30

124

Views

Spinor norm of the pth power of a matrix

Published on 16 May 2016 - 11:47

List Question

Intuitively, why are there 4 classical Lie groups/algebras?

An explicit isomorphism between $\mathbb{R}^+ \times {\rm Spin}^c(3,1)$ and ${\rm GL}^+(2,\mathbb{R})\times {\rm GL}^+(2,\mathbb{R})$?

maximal subgroup of the general linear group

Fundmental groups of matrix groups and covering relation between them

Involutions in PCO

Finding stabilizer under group action (Erlangen)

Relation between general linear groups for subfield $K$ of $F$ of finite index.

An automorphism that is not inner.

Regarding the representation theory of $SL_2(\mathbf{R})$.

Product of the norms of two vectors w.r.t a symmetric bilinear form

Which finite simple groups contain $PSL(2,q)$ for some $q\geq 4$?

Subgroup structure description

How to write a given element of the orthogonal group as a product of reflections

Finding the spinor norm of an element using a proposition in 'The Maximal Subgroups of the Low-Dimensional Finite Classical Groups'.

Spinor norm of the pth power of a matrix

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