# Meaning of lambda symbol?

1. Nov 28, 2011

### peter46464

Does the lambda symbol $$\Lambda_{\nu}^{\mu}$$ refer specifically to the Lorentz transformation matrix or to any transformation matrix?
Also, is it essential that it's enclosed in brackets $$\left(\Lambda_{\nu}^{\mu}\right)$$
to indicate the entire matrix and not a particular component? Does it matter that much or is it an obvious faux pas?
Thank you

2. Nov 28, 2011

### Fredrik

Staff Emeritus
I think it's usually just the components of a Lorentz transformation, but you shouldn't assume that every author uses that convention.

I'm not a fan of the $(\Lambda^\mu{}_\nu)$ notation. I assume it denotes the matrix with $\Lambda^\mu{}_\nu$ on row $\mu$, column $\nu$? I would just write $\Lambda$.

Note that in most books, the horizontal positioning of the indices is important.