Journal of Lie Theory 15 (2005), No. 1, 145--181
Copyright Heldermann Verlag 2005
Extended Affine Root Systems of Type BC
Saeid Azam
Dept. of Mathematics, University of Isfahan, Isfahan, P. O. Box 81745, Iran
azam@math.ui.ac.ir
Valiollah Khalili
Dept. of Mathematics, University of Isfahan, Isfahan, P. O. Box 81745, Iran
v-k@math.ui.ac.ir
Malihe Yousofzadeh
Institute for Studies in Theoretical Physics and Mathematics (IPM), University of Isfahan, Isfahan, P.O.Box 81745, Iran
ma.yousofzadeh@math.ui.ac.ir
We classify the BC-type extended affine root systems for nullity ≤ 3, in its most general sense. We show that these abstractly defined root systems are the root systems of a class of Lie algebras which are axiomatically defined and are closely related to the class of extended affine Lie algebras.
[ Fulltext-pdf (368 KB)] for subscribers only.