List questions from symplectic-linear-algebra

Published on 11 May 2023 - 13:12

65

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general form of group elements of the symplectic group

Published on 03 Jul 2023 - 14:17

45

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Sum of symplectic complement subspaces closed?

Published on 13 Jul 2023 - 19:31

86

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Decomposing binary matrices

Published on 17 Jul 2023 - 22:09

59

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On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 5.2-3. (symplectic map is immersion)

Published on 23 Jul 2023 - 13:14

217

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Preserving the symplectic 2-form vs phase space volume

Published on 04 Aug 2023 - 15:37

35

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About n-dimensional subspace of a 2n-dimensional symplectic vector space

Published on 06 Sep 2023 - 16:31

45

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Show that for any $L_1, L_2\in Lag(E,\omega)$ there exists a symplectic basis in which $L_1=<e_1,..,e_n>$ and $L_2 =<e_1,...,e_k,f_{k+1},..,f_n>$

Published on 28 Sep 2023 - 14:07

75

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Subgroup of $Sp(2n,\mathbb{R})$.

Published on 25 Oct 2023 - 19:48

117

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The topology of symplectic group Sp(2n)

Published on 30 Oct 2023 - 21:20

11

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A step in the Gromov's proof of contractability of $\omega$-tame complex structures on a finite dimensional vector space

Published on 03 Nov 2023 - 9:06

116

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Non-degenerate $2$-form on a manifold gives tangent-cotangent bundle isomorphism

Published on 09 Nov 2023 - 18:36

71

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Existence of Orthogonal Symplectic matrix

Published on 14 Nov 2023 - 2:03

35

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Difference between relative Moser and Weinstein's Lagrangian neighbourhood theorem

Published on 10 Jan 2024 - 4:29

29

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Reference for Cardinality of Parabolic Subgroup of Symplectic Group over Finite Fields

Published on 20 Jan 2024 - 23:16

List Question

How does a totally complex polarization induce a Kähler structure of the symplectic manifold

general form of group elements of the symplectic group

Sum of symplectic complement subspaces closed?

Decomposing binary matrices

On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 5.2-3. (symplectic map is immersion)

Preserving the symplectic 2-form vs phase space volume

About n-dimensional subspace of a 2n-dimensional symplectic vector space

Show that for any $L_1, L_2\in Lag(E,\omega)$ there exists a symplectic basis in which $L_1=<e_1,..,e_n>$ and $L_2 =<e_1,...,e_k,f_{k+1},..,f_n>$

Subgroup of $Sp(2n,\mathbb{R})$.

The topology of symplectic group Sp(2n)

A step in the Gromov's proof of contractability of $\omega$-tame complex structures on a finite dimensional vector space

Non-degenerate $2$-form on a manifold gives tangent-cotangent bundle isomorphism

Existence of Orthogonal Symplectic matrix

Difference between relative Moser and Weinstein's Lagrangian neighbourhood theorem

Reference for Cardinality of Parabolic Subgroup of Symplectic Group over Finite Fields

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