- #1

- 35

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Every tensor is it's symmetric plus antisymmetric part.

Thus for the components of a (0,3) tensor

[tex]F_{\lambda\mu\nu}=F_{[\lambda\mu\nu]}+F_{\{\lambda\mu\nu\}}[/tex]

and if I write this down explicitly I end up that for the components of ANY (0,3) tensor

[tex]F_{\lambda\mu\nu}=(1/3)(F_{\lambda\mu\nu} +F_{\mu\nu\lambda}+F_{\nu\lambda\mu} ) [/tex]

Huh? Does this indeed hold?