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15
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How to show that $t \subset g$ is a Lie sub-bialgebra if and only if $t^{\perp} \subset g^*$ is an ideal?

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#lie-groups #lie-algebras #poisson-geometry
233
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Poisson bracket and curl - Second equation of MHD

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#differential-geometry #physics #mathematical-physics #symplectic-geometry #poisson-geometry
488
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An analogue of the Poisson bracket in contact geometry?

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#symplectic-geometry #contact-topology #poisson-geometry
273
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poisson and hamiltonian vector fields

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#vector-fields #symplectic-geometry #hamiltonian-path #poisson-geometry
159
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q-quantization of Lie bialgebras

Published on
#lie-algebras #hopf-algebras #quantum-groups #deformation-theory #poisson-geometry
328
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How exactly do I compute Poisson-Lie brackets?

Published on
#poisson-geometry #cluster-algebra
907
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proof of the Jacobi Identity for certain poisson brackets

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#analysis #representation-theory #lie-algebras #classical-mechanics #poisson-geometry
1k
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Proving Jacobi identity for Poisson bracket using antisymmetric matrix

Published on
#matrices #poisson-geometry
544
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Casimir Functions of Poisson Structure

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#symplectic-geometry #poisson-geometry
755
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Intuition about Poisson bracket

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#abstract-algebra #physics #symplectic-geometry #hamilton-equations #poisson-geometry
2.1k
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Relation between Lie bracket and Poisson bracket

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#lie-derivative #poisson-geometry
76
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Given a bivector, determine the decomposition of $\mathbb{R}^3$ into symplectic leaves

Published on
#differential-geometry #manifolds #poisson-geometry
153
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Darboux coordinates in neighbourhood of a point

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#differential-geometry #poisson-geometry
122
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Left-/right-translate of a two-form

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#lie-groups #lie-algebras #poisson-geometry
1.2k
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Jacobi Identity for Poisson Bracket

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#differential-geometry #poisson-geometry

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