Normalizers of tori

Dwyer, William G¹ ; Wilkerson, C W²

¹ Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USA
² Department of Mathematics, Purdue University, West Lafayette, Indiana 47907, USA

Geometry & topology, Tome 9 (2005) no. 3, pp. 1337-1380.

Résumé

We determine the groups which can appear as the normalizer of a maximal torus in a connected 2–compact group. The technique depends on using ideas of Tits to give a novel description of the normalizer of the torus in a connected compact Lie group, and then showing that this description can be extended to the 2–compact case.

Détail

DOI : 10.2140/gt.2005.9.1337

Keywords: maximal torus, Weyl group, 2–compact group

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