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Théorie des groupes dynamiques (version anglaise)

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Document consolidé. 33 pages d'origine ont été réunies ici ; les liens ci-dessous ouvrent chaque section.

Collection : 1 J.P.Petit : 1998. — ce document en fait partie.

Sommaire

Dynamic groups theory. Index

2015 september 26

Je suis assailli de messages de lecteurs, me demandant de parler de ceci, de cela. Chaque sujet représente un paquet d'heures de travail. Pour le moment je me suis concentré sur le nucléaire.

Là, il y a urgence, car notre avenir est entre les mains de fous complets.

1 - Prolog -Groups : first and second axioms. Link

2 - Groups. Third and fourth axiom. Link

3 -

4 -

5 -

6 -

7 -

8 - .

9 -

10 -

11 -

12 -

13 -

14 - . Actions - Link.

15 - Anti-action. Link

16 - Dual actions Link.

17 - Coadjoint action of a Lie's group on its Lie algebra. Link.

18 - Dual od the coadjoint action of a Lie's group ont its Lie algebra. Link.

19 - .

20 - .

Prologue.

Third axiom

Group of translations :

Orthogonal matrixes. Orthogonal groups.

Symmetries.

Components of a group.

Orthogonal group

A4108

About components of the group.

A4110

Mirrors. 'PT-theorem'.

A parenthesis : Space-time orientation.

The Galileo groups

The project.

A g ( A g' ( y )) = A g' ( y )

Dual actions.

Choice of the matrix m .

passage vector f

Particles with spin.

The photon.

Neutrinos.

Permanent magnets.

A4123

The special Galileo's group.

Non-trivial extension of the Special Galileo's group.

Particles and anti-particles' zoos.

A geometrical definition of anti-matter.

Geometric description of Dirac's anti-matter.

elements transform movement of normal matter into movement of anti-matter

What is the solution ?

Coadjoint action of orthochron elements

Some comments about the metrics.


Pages d'origine : a_groups_index.htm, a4101.htm, a4102.htm, a4103.htm, a4104.htm, a4105.htm, a4106.htm, a4107.htm, a4108.htm, a4109.htm, a4110.htm, a4111.htm, a4112.htm, a4113.htm, a4114.htm, a4115.htm, a4116.htm, a4117.htm, a4118.htm, a4119.htm, a4120.htm, a4121.htm, a4122.htm, a4123.htm, a4124.htm, a4125.htm, a4126.htm, a4127.htm, a4128.htm, a4129.htm, a4130.htm, a4131.htm, a4132.htm