A remark on a proof of $[G,L]=0$ for a Lie group $G$

Abstract

In this note we give an improvement of our proof of $[G,L]=0$ for a compact framed Lie group $(G,L)$, which depends heavily on the choice of a circle subgroup $S\subset G$. We attempt here to make a more suitable choice of this circle subgroup.

5 pages; gives an improvement of the proof of $[G,L]=0$ in [3]