Affine Kac-Moody groups of types II and III

Authors

Jacqueline Ramagge, University of WollongongFollow

RIS ID

17640

Publication Details

Ramagge, J. (1994). Affine Kac-Moody groups of types II and III. Comptes rendus de l'Academie des sciences Serie 1 Mathematique, 319 207-212.

Abstract

We announce a theorum which states that, over certain fields, affine Kac-Moody groups of types II and III arise as the fixed point subgroups under particular automorphism of affine Kac_moody groups obtained from a simply laced extended Cartan matrices (and hence of type I) of higher rank. Thus our result extends a theorum on Kac-Moody algebras to corresponding groups. A detailed proof of this result will appear in the J. Algebra.