Not possible unless you're talking sub domains (which doesn't appear to be the case).
I've seen many hacks discussed in this regard with suggestions like loading images from the parent site and things like that, they are all hacks though and generally I wouldn't waste my time on those things.
The best solutions available are protocols like OAuth and OpenID where you can authenticate users from one domain on the other domain.
There are other solutions depending on what you're trying to do exactly, if you just need to display information you could always try an IFrame or something like that.
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