List questions from symplectic-linear-algebra

Published on 01 Nov 2016 - 14:50

88

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Existence of a suitable family of symplectomorphisms.

Published on 03 Dec 2016 - 2:46

608

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Geometry behind calling the pair hyperbolic in bilinear space

Published on 17 Dec 2016 - 14:07

301

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Symplectic orthogonal

Published on 07 Jan 2017 - 20:53

669

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How to generate a Lagrangian subspace of a symplectic space $\mathbb{R}^{4}$?

Published on 10 Feb 2017 - 12:05

350

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Every symplectic space has complex structure?

Published on 15 Mar 2017 - 20:26

1.8k

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Is the notion of symplectic matrix independent of the choice of $J$?

Published on 29 Mar 2017 - 14:21

69

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Contradiction when studying the eigenvalues of a matrix related to a symplectic form and a scalar product

Published on 05 Apr 2017 - 11:33

54

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Bound quotient of maximal and minimal singular values

Published on 07 Feb 2023 - 17:17

33

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Lagrangian Grassmanian as Homogeneous Space

Published on 10 Feb 2023 - 5:49

82

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Prove $\dim {\rm Im}\ T = \dim W$ in the proof of the dimension theorem for the symplectic complement

Published on 24 Feb 2023 - 4:57

58

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Proving non degeneracy of symplectic form over the linear symplectic quotient

Published on 02 Mar 2023 - 14:01

60

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How do I complete this prove of $\Phi$ is linear and symplectic iff its graph is a Lagrangian subspace of $(V \times V,(−\omega) \oplus \omega)$?

Published on 02 Mar 2023 - 17:49

62

Views

Help finding specific isomorphism between $\mathbb{Q}^{2g}$ and $K^2$.

Published on 27 Mar 2023 - 21:16

66

Views

What is the geometry of $L=\lbrace W \subset V:\text{$W$ is Lagrange subspace of $V$} \rbrace$?

Published on 10 Apr 2023 - 6:24

List Question

Extending a basis to a symplectic basis

Existence of a suitable family of symplectomorphisms.

Geometry behind calling the pair hyperbolic in bilinear space

Symplectic orthogonal

How to generate a Lagrangian subspace of a symplectic space $\mathbb{R}^{4}$?

Every symplectic space has complex structure?

Is the notion of symplectic matrix independent of the choice of $J$?

Contradiction when studying the eigenvalues of a matrix related to a symplectic form and a scalar product

Bound quotient of maximal and minimal singular values

Lagrangian Grassmanian as Homogeneous Space

Prove $\dim {\rm Im}\ T = \dim W$ in the proof of the dimension theorem for the symplectic complement

Proving non degeneracy of symplectic form over the linear symplectic quotient

How do I complete this prove of $\Phi$ is linear and symplectic iff its graph is a Lagrangian subspace of $(V \times V,(−\omega) \oplus \omega)$?

Help finding specific isomorphism between $\mathbb{Q}^{2g}$ and $K^2$.

What is the geometry of $L=\lbrace W \subset V:\text{$W$ is Lagrange subspace of $V$} \rbrace$?

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