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feat(PhyslibAlpha): the mass as a cohomology class of the Galilean Lie algebra (Souriau) #1684

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feat(PhyslibAlpha): the mass as a cohomology class of the Galilean Lie algebra (Souriau) #1684

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c7d4f8b
feat(PhyslibAlpha/ClassicalMechanics): the mass as a cohomology class…
Sep 24, 2026
d45d65c
docs(PhyslibAlpha/ClassicalMechanics): GalileanMass docstrings after …
Sep 24, 2026
fb5250d
Merge remote-tracking branch 'origin/master' into galilee-1
Sep 25, 2026
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refactor(PhyslibAlpha/ClassicalMechanics): move the moment map files …
Sep 25, 2026
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5 changes: 3 additions & 2 deletions PhyslibAlpha.lean
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Expand Up @@ -27,8 +27,9 @@ public import PhyslibAlpha.SpaceAndTime.Space.Surfaces.SphericalCylinder
public import PhyslibAlpha.SpaceAndTime.Space.Surfaces.SolidCylinder
public import PhyslibAlpha.SpaceAndTime.Space.Surfaces.SolidSphere
public import PhyslibAlpha.SpaceAndTime.Space.Surfaces.SphericalShell
public import PhyslibAlpha.ClassicalMechanics.MomentMap
public import PhyslibAlpha.ClassicalMechanics.MomentMapCohomology
public import PhyslibAlpha.ClassicalMechanics.MomentMap.Basic
public import PhyslibAlpha.ClassicalMechanics.MomentMap.Cohomology
public import PhyslibAlpha.ClassicalMechanics.MomentMap.GalileanMass
public import PhyslibAlpha.ClassicalMechanics.NortonDome.Basic
public import PhyslibAlpha.ClassicalMechanics.NortonDome.Determinism
public import PhyslibAlpha.ClassicalMechanics.NortonDome.NewtonianSystem
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0 ...ibAlpha/ClassicalMechanics/MomentMap.lean → ...a/ClassicalMechanics/MomentMap/Basic.lean
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4 changes: 2 additions & 2 deletions ...assicalMechanics/MomentMapCohomology.lean → ...ssicalMechanics/MomentMap/Cohomology.lean
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Expand Up @@ -5,7 +5,7 @@ Authors: Philippe Kevorkian
-/
module

public import PhyslibAlpha.ClassicalMechanics.MomentMap
public import PhyslibAlpha.ClassicalMechanics.MomentMap.Basic
public import Mathlib.RepresentationTheory.Homological.GroupCohomology.LowDegree
/-!

Expand All @@ -25,7 +25,7 @@ group `Sp(E) ⋉ E` of a real symplectic vector space `E`, acting by `x ↦ B x
`moment` of (11.7): the defect `θ(a)` does not depend on `x` and equals `μ(C)` (a computation here,
not a consequence of connectedness), `θ` is a 1-cocycle of the coadjoint action, its derivative
at the identity along a curve is the Lie algebra cocycle of
`PhyslibAlpha.ClassicalMechanics.MomentMap`, and its cohomology class is not zero. It does NOT
`PhyslibAlpha.ClassicalMechanics.MomentMap.Basic`, and its cohomology class is not zero. It does NOT
prove (11.18), (11.20) or (11.21): by (11.21) the non-zero class means that no potential of `σ` is
invariant under this group, but that implication is Souriau's and is not formalised here.

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