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Trace decomposition and irreducible decomposition of a tensor on a Riemannian or symplectic manifold.

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xBrauer_Bundle

The xBrauer package needs BrauerAlgebra SymmetricFunctions and the xAct bundle (in particular xPerm, xTensor, Invar, SymManipulator, xTras) to work properly. It is specially useful for the trace decomposition and irreducible decomposition of a tensor.


      INSTALLATION NOTES 

When uncompressed, the archive file give a number of directories hanging from a directory called xBrauer_Bundle-main/. These directories (BrauerAlgebra/, SymmetricFunctions/ and xBrauer/) must be placed at one of the places Mathematica prepares for external applications inside the xAct directory.

Linux:

  • system-wide installation (requires root priviledges):

    /usr/share/Mathematica/Applications/xAct/

  • single-user installation:

    $HOME/.Mathematica/Applications/xAct/

Mac OS:

  • system-wide installation (requires root priviledges):

    /Library/Mathematica/Applications/xAct/

  • single-user installation:

    /Users//Library/Mathematica/Applications/xAct/

MSWindows:

  • system-wide installation:
C:\Program Files\Wolfram Research\Mathematica\<version>\AddOns\Applications\xAct\
  • single-user installation:
C:\Users\<user>\AppData\Roaming\Mathematica\Applications\xAct\

Beware that in Windows these directories might be hidden!

If you have any problem, don't hesitate to contact me at

thomas.helpin@gmail.com

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Trace decomposition and irreducible decomposition of a tensor on a Riemannian or symplectic manifold.

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