Anti-Symmetric Tensor: Solving for 'a' in W[ijWk]l=aW[ijWkl]

[NAZIMTUFAIL]

all indices are subscripts W[ijWk]l=aW[ijWkl]
what will be the value of ''a''?
Wij is the ndim-tensor with ij subscripts...
if we include the index 'l' in anti-symmetric, then what would be the value of ''a''...where ''a'' is combinatorial factor...

 

[NAZIMTUFAIL]

please help...anti-symmetric tensor...

if W[ijWk]l=aW[ijWkl]
ijkl are subscripts as well as indices.
W is vortacity. what will be the value of ''a''?
if we include the index 'l' in anti-symmetric competition , then what would be the value of ''a''...where ''a'' is combinatorial factor...

[] brackets shows the anti-symmetric notations..