List questions from symplectic-linear-algebra

Published on 28 Aug 2015 - 9:00

414

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Determinant structure of symplectic matrix

Published on 02 Sep 2015 - 15:04

885

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Passage in proving lagrangian subspaces have lagrangian complements

Published on 03 Sep 2015 - 10:04

526

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Non-zeroth power of a Jordan block for the eigenvalue $1$ is similar to itself

Published on 30 Sep 2015 - 9:27

239

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Is there a way to compute the Poincaré dual of the following type of degree $(2n-2)$ de Rham class?

Published on 29 Nov 2015 - 0:27

1.7k

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Prove that the transpose of a symplectic matrix is also symplectic

Published on 06 Dec 2015 - 15:30

270

Views

Regarding embeddings and homological/cohomological injectivity

Published on 09 Feb 2016 - 22:54

98

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Prove there exist such that $A = [T]_\beta$ and $B = [T]_\gamma$

Published on 20 Feb 2016 - 2:06

271

Views

Prove that if $A\ge0$ then $JA$ has imaginary eigenvalues

Published on 06 Apr 2016 - 13:22

829

Views

Specifics on the Williamson normal form algorithm

Published on 20 Apr 2016 - 22:25

173

Views

Eigenvalue correspondence between Symplectic orthogonal & Unitary matrices

Published on 12 May 2016 - 21:53

955

Views

the symplectic version of Gram-Schmidt process and one application of it.

Published on 26 May 2016 - 16:53

306

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Is it Possible to Show that the Determinant of a Symplectic Matrix is 1 Using Induction?

Published on 28 May 2016 - 5:30

503

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Kernel of $\omega^\#$ is $k$-dimensional

Published on 04 Jun 2016 - 6:06

113

Views

Bundle isomorphism $\Phi : TM \oplus T^M \to T(T^M)$.

Published on 12 Jun 2016 - 14:20

List Question

Symplectic transform between pairs of Lagrangian subspaces

Determinant structure of symplectic matrix

Passage in proving lagrangian subspaces have lagrangian complements

Non-zeroth power of a Jordan block for the eigenvalue $1$ is similar to itself

Is there a way to compute the Poincaré dual of the following type of degree $(2n-2)$ de Rham class?

Prove that the transpose of a symplectic matrix is also symplectic

Regarding embeddings and homological/cohomological injectivity

Prove there exist such that $A = [T]_\beta$ and $B = [T]_\gamma$

Prove that if $A\ge0$ then $JA$ has imaginary eigenvalues

Specifics on the Williamson normal form algorithm

Eigenvalue correspondence between Symplectic orthogonal & Unitary matrices

the symplectic version of Gram-Schmidt process and one application of it.

Is it Possible to Show that the Determinant of a Symplectic Matrix is 1 Using Induction?

Kernel of $\omega^\#$ is $k$-dimensional

Bundle isomorphism $\Phi : TM \oplus T^M \to T(T^M)$.

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