List questions from symplectic-linear-algebra

Published on 17 Dec 2014 - 17:00

292

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Show that bilinear form is symplectic

Published on 22 Oct 2019 - 8:35

161

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Symplectic state-transition matrix

Published on 25 Oct 2019 - 20:56

173

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Normal mode representation for periodic boundary conditions

Published on 27 Oct 2019 - 22:06

178

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Disjoint Lagrangian subspaces

Published on 28 Oct 2019 - 16:52

145

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Homogeneous Structures for Isotropic, Coisotropic, and Symplectic Subspaces?

Published on 13 Dec 2019 - 5:39

80

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For $1$-form $\lambda$, $d \lambda$ non-degenerate implies $e^f \lambda$ non-degenerate supposing $X_{\lambda}(f)>-1$

Published on 23 Jan 2020 - 20:01

37

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Maximal symplectic subspace of a presymplectic vector space

Published on 08 Feb 2020 - 19:00

165

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What is the relationship between the Williamson normal form of a matrix and its orthogonal diagonalisation?

Published on 10 Feb 2020 - 12:57

325

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Structure theorem of symplectic modules

Published on 22 Feb 2020 - 2:10

50

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Conventions on symplectic embeddings vs. symplectomorphisms

Published on 24 Feb 2020 - 14:26

32

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Putting any bilinear form on a vector space in a particular form.

Published on 05 Mar 2020 - 15:49

55

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About some $\mathbb R$-algebra morphisms $h:\mathbb C\rightarrow \operatorname{End}_{\mathbb R}(V)$ where $V$ is a symplectic space

Published on 06 Mar 2020 - 4:37

700

Views

Geometrcal proof of "Pfaffian squared is determinant"

Published on 11 Mar 2020 - 7:47

403

Views

To show that the space of all transversal lagrangian subspaces is contractible

Published on 24 Mar 2020 - 11:51

List Question

How to find lagrangian submanifolds.

Show that bilinear form is symplectic

Symplectic state-transition matrix

Normal mode representation for periodic boundary conditions

Disjoint Lagrangian subspaces

Homogeneous Structures for Isotropic, Coisotropic, and Symplectic Subspaces?

For $1$-form $\lambda$, $d \lambda$ non-degenerate implies $e^f \lambda$ non-degenerate supposing $X_{\lambda}(f)>-1$

Maximal symplectic subspace of a presymplectic vector space

What is the relationship between the Williamson normal form of a matrix and its orthogonal diagonalisation?

Structure theorem of symplectic modules

Conventions on symplectic embeddings vs. symplectomorphisms

Putting any bilinear form on a vector space in a particular form.

About some $\mathbb R$-algebra morphisms $h:\mathbb C\rightarrow \operatorname{End}_{\mathbb R}(V)$ where $V$ is a symplectic space

Geometrcal proof of "Pfaffian squared is determinant"

To show that the space of all transversal lagrangian subspaces is contractible

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