List questions from symplectic-linear-algebra

Published on 03 Mar 2021 - 22:43

62

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$(V,\omega)$ with $W,W'$ isotropic, then there exists $\phi \in Aut(V)$ such that $\phi(W)=W'$ iff $\dim(W)=\dim(W')$

Published on 03 Mar 2021 - 23:35

30

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Reference pn bilinear forms

Published on 05 Mar 2021 - 23:46

469

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Constructing $g$-othogonal and symplectic basis of the vector space given a Lagrangian subspace.

Published on 15 Mar 2021 - 16:04

22

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Name of a certain type of subgroup of general/special linear groups

Published on 22 Mar 2021 - 8:33

415

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Proving that the determinant of a real symplectic matrix is $1$ from its eigenvalues

Published on 01 Apr 2021 - 16:08

269

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Proof that Nijenhuis Tensor is a Tensor

Published on 26 Apr 2021 - 0:46

81

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If $\phi^* X_H=X_{H\circ \phi}$ then $\phi$ is a symplectomorphism

Published on 27 Apr 2021 - 17:41

117

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Almost complex structure invariant by hamiltonian action

Published on 03 May 2021 - 19:13

77

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Sphere is a symplectic submanifold of Lie algebra $S0(3)^*$

Published on 28 May 2021 - 17:21

196

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Difficulty understanding a proposition in Fulton and Harris regarding $\mathrm{Sp}_{2n}(\mathbb{C})$

Published on 02 Jun 2021 - 22:36

240

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Subgroups of Symplectic Groups.

Published on 06 Jun 2021 - 17:35

88

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Symplectic manifold with opposite orientation

Published on 30 Jun 2021 - 20:27

111

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Finding a symplectic form where basis vectors have integer norm.

Published on 02 Jul 2021 - 20:45

123

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Explicit description of a two-point stabilizer of the symplectic groups $Sp(2k,2)$ over $GF(2)$.

Published on 30 Jul 2021 - 11:48

List Question

Every isotropic subspace is contained in a lagrangian subspace.

$(V,\omega)$ with $W,W'$ isotropic, then there exists $\phi \in Aut(V)$ such that $\phi(W)=W'$ iff $\dim(W)=\dim(W')$

Reference pn bilinear forms

Constructing $g$-othogonal and symplectic basis of the vector space given a Lagrangian subspace.

Name of a certain type of subgroup of general/special linear groups

Proving that the determinant of a real symplectic matrix is $1$ from its eigenvalues

Proof that Nijenhuis Tensor is a Tensor

If $\phi^* X_H=X_{H\circ \phi}$ then $\phi$ is a symplectomorphism

Almost complex structure invariant by hamiltonian action

Sphere is a symplectic submanifold of Lie algebra $S0(3)^*$

Difficulty understanding a proposition in Fulton and Harris regarding $\mathrm{Sp}_{2n}(\mathbb{C})$

Subgroups of Symplectic Groups.

Symplectic manifold with opposite orientation

Finding a symplectic form where basis vectors have integer norm.

Explicit description of a two-point stabilizer of the symplectic groups $Sp(2k,2)$ over $GF(2)$.

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