What's relation between factorial and tensor components.?

[aditya23456]

maybe its simple permutation and combination technique... I ve tried to resolve it on my own but I couldn't...The textbook which I read simply mentions it to be obvious..can anyone please elucidate me the logic behind factorials of "independent components of tensor curl" and levi cita

Can anyone also explain the relation between pseudo-tensor and tensor density.?(with practical example hopefully)

 

[aditya23456]

can anyone please help me

 

[Hurkyl]

What specifically are you are asking? Your post doesn't provide enough detail.

 

[aditya23456]

In dual tensors,levi ceta symbols we have some factorials..how are they assigned.?

 

[Muphrid]

It's just an artifact of using summation conventions. Levi-Civita in N dimensions generally has $1/N!$ appear somewhere.

Realizing that the Levi-Civita tensor represents the unit pseudoscalar in the space obviates the need for factorials.