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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

2 votes
1 answer
197 views

Polytopes related to the conjugation action of a Lie group on multiple copies of itself?

Let G be a finite dimensional real Lie group. As I understand it, the quotient space of G acting on itself by conjugation is a well studied polytope which can be identified with the fundamental alcove …
Chris Schommer-Pries's user avatar
20 votes
Accepted

For what topological groups $G$ can we take $EG \rightarrow BG$ to be of the form $S^{\infty...

I like to think of $EG$ and $BG$ in terms of configuration spaces. The space $BG$ can be identified with the following configuration space. It consists of configurations of finitely many points in the …
Chris Schommer-Pries's user avatar