List questions from symplectic-linear-algebra

Published on 28 Apr 2017 - 1:28

74

Views

Show that $\mathfrak{sp}_{2n}(\mathbb{C})$ is a sub lie-algebra of $\mathfrak{gl}(\mathbb{C}^{2n})$

Published on 06 May 2017 - 0:25

727

Views

How do I derive the center of the symplectic group?

Published on 09 May 2017 - 10:07

201

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Lines in Grassmannian

Published on 09 May 2017 - 20:57

531

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Quick question on symplectic vector spaces

Published on 15 Jun 2017 - 14:09

55

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Determining two binary quadratic forms induced by binary nondegenerate symplectic form.

Published on 18 Jun 2017 - 10:48

92

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$\mbox{PSL}(2,\mathbb{R})$ and $\mbox{Sp}(2,\mathbb{R})$

Published on 17 Jul 2017 - 3:09

278

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vanishing of a certain cyclic permutation sum of tensors

Published on 22 Jul 2017 - 15:49

183

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Question on constructing a smplectomorphism between $(V,\omega)$ and $(Y \oplus Y^*,\omega_0)$ where $Y$ is lagrangian

Published on 08 Sep 2017 - 9:07

287

Views

Symplectic form and quadratic form

Published on 20 Oct 2017 - 16:44

13.4k

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Why is the determinant of a symplectic matrix 1?

Published on 21 Nov 2012 - 16:29

88

Views

Symplectic geometry property: $(A+B)^{\circ} = A^{\circ}\cap B^{\circ}$

Published on 09 Mar 2013 - 11:28

600

Views

Normal Form Theorem for Skew Symmetric Forms

Published on 20 Mar 2013 - 6:41

375

Views

Find neccessary and sufficient condition on $A,B,C,D$ in order that $M^{t}JM = J$

Published on 25 Mar 2013 - 12:55

98

Views

Equivalence of two 1-form defining the same hyperplane field on a manifold.

Published on 05 Aug 2020 - 21:38

List Question

How does one define a non-degenerate form on a non-self-dual topological vector space?

Show that $\mathfrak{sp}_{2n}(\mathbb{C})$ is a sub lie-algebra of $\mathfrak{gl}(\mathbb{C}^{2n})$

How do I derive the center of the symplectic group?

Lines in Grassmannian

Quick question on symplectic vector spaces

Determining two binary quadratic forms induced by binary nondegenerate symplectic form.

$\mbox{PSL}(2,\mathbb{R})$ and $\mbox{Sp}(2,\mathbb{R})$

vanishing of a certain cyclic permutation sum of tensors

Question on constructing a smplectomorphism between $(V,\omega)$ and $(Y \oplus Y^*,\omega_0)$ where $Y$ is lagrangian

Symplectic form and quadratic form

Why is the determinant of a symplectic matrix 1?

Symplectic geometry property: $(A+B)^{\circ} = A^{\circ}\cap B^{\circ}$

Normal Form Theorem for Skew Symmetric Forms

Find neccessary and sufficient condition on $A,B,C,D$ in order that $M^{t}JM = J$

Equivalence of two 1-form defining the same hyperplane field on a manifold.

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