Journal of Lie TheoryVol. 15, No. 1, pp. 145–181 (2005)
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Journal of Lie Theory Vol. 15, No. 1, pp. 145–181 (2005) |
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Extended Affine Root Systems of Type BCSaeid Azam, Valiollah Khalili, and Malihe YousofzadehSaeid AzamDepartment of Mathematics University of Isfahan, Isfahan Iran, P.O.Box 81745 azam@math.ui.ac.ir, \smallskip Malihe Yousofzadeh Institute for Studies in Theoretical Physics and Mathematics (IPM) ma.yousofzadeh@math.ui.ac.ir, and Valiollah Khalili Department of Mathematics University of Isfahan, Isfahan Iran, P.O.Box 81745 v-k@math.ui.ac.ir Abstract: We classify the $BC$-type extended affine root systems for nullity $\leq 3$, 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. Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 26 Aug 2004. This page was last modified: 4 Jun 2010.
© 2004 Heldermann Verlag
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