Journal of Lie Theory Vol. 12, No. 2, pp. 357368 (2002) 

The outer automorphism group of normalizers of maximal tori in connected compact Lie groupsJeanFrançois HämmerliJeanFrançois HämmerliDepartment of Mathematics Faculty of Science Okayama University 31 Tsushimanaka JP7008530 Okayama hammerli@math.okayamau.ac.jp Abstract: Let $G$ be a connected compact Lie group, $T$ a maximal torus of $G$, $N = N_G(T)$ its normalizer and $W = N/T$ the Weyl group of $G$. We show that the outer automorphism group of $N$ canonically decomposes as a semidirect product, where the normal subgroup is given by the cohomology group $H^1(W;T)$ Full text of the article:
Electronic fulltext finalized on: 6 May 2002. This page was last modified: 21 May 2002.
© 2002 Heldermann Verlag
