List questions from symplectic-linear-algebra

Published on 01 Aug 2021 - 12:06

204

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Identification of Lagrangian Grassmannian with unitary group

Published on 05 Aug 2021 - 10:30

187

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Exists lagrangian subspace $L$ such that $L \cap W_j = \{0\}$.

Published on 28 Aug 2021 - 1:53

84

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Linear Relative Darboux Theorem

Published on 01 Sep 2021 - 3:19

77

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Prove that a matrix is symplectic?

Published on 21 Sep 2021 - 5:33

63

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Global $\omega$-compactible complex structure on symplectic manifold

Published on 06 Oct 2021 - 17:40

34

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Is a function that is linear on all totally isotropic subspaces linear globally?

Published on 12 Oct 2021 - 8:38

85

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Regarding the reducibility of a subgroup of the symplectic group.

Published on 14 Oct 2021 - 18:39

199

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Explicit sympletic rotation matrix

Published on 19 Oct 2021 - 20:12

53

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Is there always a Lagrangian subspace common to two symplectic forms?

Published on 12 Nov 2021 - 16:03

33

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Triangulisation of a symplectic matrix

Published on 13 Nov 2021 - 10:28

116

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Transform Fourier of paths in symplectic vector spaces

Published on 19 Nov 2021 - 18:51

68

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I need to solved this linear algebra equation with an unambiguous solution

Published on 23 Nov 2021 - 13:28

104

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Proving that the symplectic group $Sp_{2n}(K)$ is simple if $|K|=2$ or $3$

Published on 30 Nov 2021 - 14:37

51

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Suppose $H$ is Hamiltonian. Show that $e^H$ must be symplectic.

Published on 07 Dec 2021 - 22:24

List Question

How to find $S$, given $X$ such that $X=S^TX_dS$?

Identification of Lagrangian Grassmannian with unitary group

Exists lagrangian subspace $L$ such that $L \cap W_j = \{0\}$.

Linear Relative Darboux Theorem

Prove that a matrix is symplectic?

Global $\omega$-compactible complex structure on symplectic manifold

Is a function that is linear on all totally isotropic subspaces linear globally?

Regarding the reducibility of a subgroup of the symplectic group.

Explicit sympletic rotation matrix

Is there always a Lagrangian subspace common to two symplectic forms?

Triangulisation of a symplectic matrix

Transform Fourier of paths in symplectic vector spaces

I need to solved this linear algebra equation with an unambiguous solution

Proving that the symplectic group $Sp_{2n}(K)$ is simple if $|K|=2$ or $3$

Suppose $H$ is Hamiltonian. Show that $e^H$ must be symplectic.

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