Recent content by smallgun

  1. S

    Graduate What Are the Open Sets of U(N)?

    Hi people, Let U(N) be the unitary matrices group of a positive integer N . Then, U(N) can be viewed as a subspace of \mathbb{R}^{2N^2} . I am curious what the open sets of U(N) are in this case. If it has an inherited topology from GL(N,\mathbb{C}) , what are the open sets of...