Sunday, May 14, 2006

Mapping Homework Onto a Dreamspace

This one is from the last half of February 2005:

I had this dream after I stayed up late doing representation theory homework. The homework involved a function mapping a group onto a vector space, and it was particularly important where the identity element got sent. So in the dream, I was working on this huge campus which was a vector space, and I had the job of taking the identity element around to all the basis vectors it had to get mapped to. If a group is called G, then we usually write its identity as a 1 with a subscript G. In the dream, the identity was this huge 1 with a subscript on it, and I had to wheel it around on a forklift.

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