List questions from symplectic-linear-algebra

Published on 07 Aug 2020 - 2:07

303

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Proving the wedge product of a nondegenerate $2-$form with $1-$forms is injective

Published on 22 Aug 2020 - 10:08

75

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Simultaneously writing several skew-symmetric matrices on a "canonical" form

Published on 01 Sep 2020 - 20:11

74

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Is sum of two symplectic subspaces symplectic?

Published on 18 Sep 2020 - 17:38

185

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Motivation for the standard symplectic space

Published on 24 Sep 2020 - 17:12

38

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$O(d,1)$ isomorphisms to $Sp(n;\mathbb{F})$ for some fields $\mathbb{F}$ and $n$

Published on 27 Sep 2020 - 21:40

59

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Why linear map from here from $V \to V^*$ is surjective.

Published on 28 Oct 2020 - 6:24

72

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Diverging sequence of symplectic matrices.

Published on 08 Dec 2020 - 20:27

179

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Showing that $\mathcal{L}(n)\cong U(n)/O(n)$

Published on 25 Dec 2020 - 11:25

156

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Is the symplectic complement of a symplectic subspace is still symplectic in infinite dimensional symplectic vector space?

Published on 26 Dec 2020 - 9:48

79

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Is every matrix in $M_n(\mathbb{C})$ a sum of symplectic matrices?

Published on 25 Jan 2021 - 15:23

192

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The Heisenberg group/algebra and Symplectic Vector Spaces

Published on 26 Feb 2021 - 9:30

147

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How many Lagrangian subspaces are there over $\mathbb{F}_2$?

Published on 27 Feb 2021 - 22:34

24

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Property of symplectic spaces

Published on 28 Feb 2021 - 0:36

140

Views

Calculating the Lie bracket on the Heisenberg algebra of $H=Z\times S^1$

Published on 28 Feb 2021 - 21:18

List Question

A hyperplane $W$ of a symplectic vector space $V$ is coisotropic.

Proving the wedge product of a nondegenerate $2-$form with $1-$forms is injective

Simultaneously writing several skew-symmetric matrices on a "canonical" form

Is sum of two symplectic subspaces symplectic?

Motivation for the standard symplectic space

$O(d,1)$ isomorphisms to $Sp(n;\mathbb{F})$ for some fields $\mathbb{F}$ and $n$

Why linear map from here from $V \to V^*$ is surjective.

Diverging sequence of symplectic matrices.

Showing that $\mathcal{L}(n)\cong U(n)/O(n)$

Is the symplectic complement of a symplectic subspace is still symplectic in infinite dimensional symplectic vector space?

Is every matrix in $M_n(\mathbb{C})$ a sum of symplectic matrices?

The Heisenberg group/algebra and Symplectic Vector Spaces

How many Lagrangian subspaces are there over $\mathbb{F}_2$?

Property of symplectic spaces

Calculating the Lie bracket on the Heisenberg algebra of $H=Z\times S^1$

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