
Journal of Lie Theory 15 (2005), No. 1, 145181 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 vk@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 BCtype 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. [ Fulltextpdf (368 KB)] for subscribers only. 