- #1

- 662

- 1

I know this has to see with properties of Gl(n;C) (C complexes, of course.) ;

specifically, with Gl(n;C) being connected (as a Lie Group.). Now this means

that the determinant map must be either always pos. or always negative, but

I am not clear on why it is not always negative.

Also, I am confused about the fact that the determinant may be complex-valued,

so that it does not make sense to say it is positive or negative.

Any Ideas.?

Thanks.