Deriving commutator of operators in Lorentz algebra

[YSM]

Homework Statement

How to derive the commutator of L and K according to the Lorentz commutation relations.

Relevant Equations

see below

Lⁱ=1/2*∈^ijkJ^jk, Kⁱ=J⁰ⁱ,where J satisfy the Lorentz commutation relation.
[L_i,L_j]=i/4*∈^iab∈^jcd(g^bcJ^ad-g^acJ^bd-g^bdJ^ac+g^adJ^bc)
How can I obtain
[L_i,L_j]=i∈^ijkL^k
from it?

 

[DEvens]

Is this any help?

http://www.physics.mcgill.ca/~guymoore/ph551/appendixC.pdf