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

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#complex-geometry #quantum-mechanics #symplectic-geometry #symplectic-linear-algebra
66
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general form of group elements of the symplectic group

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#linear-algebra #lie-groups #symplectic-geometry #symplectic-linear-algebra
46
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Sum of symplectic complement subspaces closed?

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#banach-spaces #topological-vector-spaces #symplectic-linear-algebra
87
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Decomposing binary matrices

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#linear-algebra #binary #symplectic-linear-algebra
60
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On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 5.2-3. (symplectic map is immersion)

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#linear-algebra #differential-geometry #differential-forms #symplectic-geometry #symplectic-linear-algebra
218
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Preserving the symplectic 2-form vs phase space volume

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#differential-geometry #differential-forms #classical-mechanics #symplectic-geometry #symplectic-linear-algebra
36
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About n-dimensional subspace of a 2n-dimensional symplectic vector space

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#linear-algebra #symplectic-linear-algebra
46
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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 $L_2 =<e_1,...,e_k,f_{k+1},..,f_n>$

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#differential-geometry #symplectic-geometry #symplectic-linear-algebra
76
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Subgroup of $Sp(2n,\mathbb{R})$.

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#lie-groups #lie-algebras #symplectic-linear-algebra
118
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The topology of symplectic group Sp(2n)

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#lie-groups #symplectic-geometry #symplectic-linear-algebra
12
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A step in the Gromov's proof of contractability of $\omega$-tame complex structures on a finite dimensional vector space

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#fibration #symplectic-linear-algebra
117
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Non-degenerate $2$-form on a manifold gives tangent-cotangent bundle isomorphism

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#differential-geometry #differential-topology #smooth-manifolds #symplectic-geometry #symplectic-linear-algebra
72
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Existence of Orthogonal Symplectic matrix

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#linear-algebra #matrices #orthogonal-matrices #symplectic-linear-algebra
36
Views

Difference between relative Moser and Weinstein's Lagrangian neighbourhood theorem

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#differential-geometry #differential-topology #symplectic-geometry #symplectic-linear-algebra
30
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Reference for Cardinality of Parabolic Subgroup of Symplectic Group over Finite Fields

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#finite-fields #symplectic-linear-algebra #maximal-subgroup

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