Re: math disput btwn friends (dimension of vector spaces)

So because of this isomorphism, if you change
vector spaces between complex numbers
and real numbers, the dimension gets multiplied
by 2? (Since dimV (over complex numbers)=n,
then dimV(over real numbers)=2n)

Or am I simplifying it too much?

Thanks (my friend will be happy
to know he was correct for once, haha)
.

Relevant Pages

  • Re: Tensor Products of Vector Spaces: Need Help in Understanding
    ... >>Maheshwaran Srinivasan wrote: ... >>> Given Vector Spaces U and V of dimension m and n respectively, ... A general element of the tensor product of U and V ...
    (sci.math)
  • Re: Treating Magnitude as Fundamental
    ... I've put up a cvs source code image: ... Chapman's isomorphism between P4 and R x C is ... We learn that Cardano, in the 16th century, stumbled ... It is the generalization of sign which does meet dimension. ...
    (sci.math)
  • Re: Concerning the isomorphism of complex varieties.
    ... algebraic varieties are equidimensional of dimension other than zero), ... such a general algorithm does not exist, what is the smallest n, other ... Every finite simplicial complex of dimension k is homotopy-equivalent ... The unsolvability of the isomorphism problem ...
    (sci.math.research)
  • Re: When is V* not isomorphic to V?
    ... >>>Best regards, ... > have infinite dimension as a vector space over k. ... > vector space isomorphism, ...
    (sci.math)
  • Linear transformations
    ... Given two vector spaces of dimension n> 0 and m> n, we represent the two spaces with square matrices A and B. ... The pessimist fears it is true. ... Robert Oppenheimer] ...
    (sci.math)