Reply to post:

How to solve a Rubik's Cube in five seconds

DavCrav Silver badge

Lie groups are essentially just the same thing as all n x n invertible matrices, i.e., GL_n(k), where k is any field. If the field has a nice topology, say R or C, then you pull this topology back through the determinant map to get a topology on GL_n. All other Lie groups more or less look like this, in that they form a closed subgroup (i.e., inverse image of a closed subset of the reals under the determinant map) of GL_n(R) or GL_n(C). (This can be taken as a definition of a Lie group, but shouldn't if you are doing things properly. Which we aren't, since this is a comment thread on a news website.)

POST COMMENT House rules

Not a member of The Register? Create a new account here.

  • Enter your comment

  • Add an icon

Anonymous cowards cannot choose their icon

Biting the hand that feeds IT © 1998–2019