What does B_{[ij} B'_{kl]} mean for bivectors?

[naima]

Could you please tell me what means
$$B_{[ij} B'_{kl]}$$ where B and B' are bivectors
I found it in http://arxiv.org/abs/hep-th/0311162"
look at lemma 2.4
thanks

 

[tiny-tim]

hi naima!

it means the whole thing is antisymmetrised in all indices …

the indices are treated the same way as in $A_{[ijkl]}$

 

[naima]

ok thanks
And I guess when one is outside the brakets it is not antisymmetric with those inside?
I'll go on reading this paper it seems interesting.

 

[tiny-tim]

And I guess when one is outside the brakets it is not antisymmetric with those inside?

yup!