Question

Why do we define Symplectic groups with Transpose and not hermitian adjoint?

score 131 · Answer 1 · 2021-12-20 07:32:03

131

Views

Why do we define Symplectic groups with Transpose and not hermitian adjoint?

Published on 20 Dec 2021 - 7:32

score 253 · Answer 2 · 2022-01-26 12:56:22

253

Views

Explicit definition of the cusps of a congruence subgroup of the symplectic group

Published on 26 Jan 2022 - 12:56

score 594 · Answer 3 · 2022-02-07 23:38:31

594

Views

Symplectic version of "Gram-Schmidt"

Published on 07 Feb 2022 - 23:38

score 221 · Answer 4 · 2022-02-15 10:56:48

221

Views

Symplectic structure on tensor products and duals

Published on 15 Feb 2022 - 10:56

score 176 · Answer 5 · 2022-02-25 03:59:20

176

Views

Is there a name for this 'splitting' of an orthogonal structure into unitary and symplectic structures?

Published on 25 Feb 2022 - 3:59

score 26 · Answer 6 · 2022-03-07 07:14:26

26

Views

Symmetric Symplectic matrix preseve Lagrangian space

Published on 07 Mar 2022 - 7:14

score 91 · Answer 7 · 2022-03-13 15:51:37

91

Views

Equivalent condition for 3-form being primitive in 6 dimensions

Published on 13 Mar 2022 - 15:51

score 37 · Answer 8 · 2022-03-15 10:29:30

37

Views

Given the Symplectic Matrix acting on phase space, find the Gaussian Unitary acting on the Hilbert space

Published on 15 Mar 2022 - 10:29

score 93 · Answer 9 · 2022-04-16 12:59:16

93

Views

Symmetric form induced by symplectic form and complex structure is definite

Published on 16 Apr 2022 - 12:59

score 172 · Answer 10 · 2022-06-01 22:26:20

172

Views

Differential Operator Invertible

Published on 01 Jun 2022 - 22:26

score 80 · Answer 11 · 2022-07-27 17:45:55

80

Views

Showing that $k^(H_f)\lrcorner k^\sigma=k^*(H_f\lrcorner\sigma)$for symplectomorphism $k$, contraction $\lrcorner$ and symplectic product $\sigma$

Published on 27 Jul 2022 - 17:45

score 32 · Answer 12 · 2022-07-28 11:20:07

32

Views

Understanding why $\partial_t\kappa_t = H_q = (\kappa_t)_*H_q$ for smooth symbol $q$, symplectomorphism $\kappa$ and Hamiltonian vector field $H$

Published on 28 Jul 2022 - 11:20

score 42 · Answer 13 · 2022-08-04 15:38:01

42

Views

Showing the equivalence of two definitions of non degeneracy and question about non degeneracy of symplectic form

Published on 04 Aug 2022 - 15:38

score 190 · Answer 14 · 2022-08-05 09:19:48

190

Views

Fixed a symplectic form, any differential of a regular function is a contraction of the symplectic form

Published on 05 Aug 2022 - 9:19

score 275 · Answer 15 · 2022-08-11 15:05:24

275

Views

Is the symplectic group over the rationals $\text{Sp}(2n,\mathbb Q)$ dense on the symplectic group $\text{Sp}(2n,\mathbb R)$ over the reals?

Published on 11 Aug 2022 - 15:05

List Question

Why do we define Symplectic groups with Transpose and not hermitian adjoint?

Explicit definition of the cusps of a congruence subgroup of the symplectic group

Symplectic version of "Gram-Schmidt"

Symplectic structure on tensor products and duals

Is there a name for this 'splitting' of an orthogonal structure into unitary and symplectic structures?

Symmetric Symplectic matrix preseve Lagrangian space

Equivalent condition for 3-form being primitive in 6 dimensions

Given the Symplectic Matrix acting on phase space, find the Gaussian Unitary acting on the Hilbert space

Symmetric form induced by symplectic form and complex structure is definite

Differential Operator Invertible

Showing that $k^(H_f)\lrcorner k^\sigma=k^*(H_f\lrcorner\sigma)$for symplectomorphism $k$, contraction $\lrcorner$ and symplectic product $\sigma$

Understanding why $\partial_t\kappa_t = H_q = (\kappa_t)_*H_q$ for smooth symbol $q$, symplectomorphism $\kappa$ and Hamiltonian vector field $H$

Showing the equivalence of two definitions of non degeneracy and question about non degeneracy of symplectic form

Fixed a symplectic form, any differential of a regular function is a contraction of the symplectic form

Is the symplectic group over the rationals $\text{Sp}(2n,\mathbb Q)$ dense on the symplectic group $\text{Sp}(2n,\mathbb R)$ over the reals?

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