There are dozens of complaints in the Google Maps Help forums that the Google My Maps results are not working within Internet Explorer.
Google’s Brian B. posted a confirmation of the issue, he said:
I confirmed the issue myself.
My Maps results in Firefox:
My Maps results in Internet Explorer 8:
The left hand side is missing.
This seems to be a large issue for many sites who use My Maps as part of their service offering.
Forum discussion at Google Maps Help.