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REFLECTION OF ROOT LATTICES FOR GENERALIZED KAC-MOODY ALGEBRAS  

Kim, Wan-Soon (Department of Mathematics, Hoseo University)
Park, Jun-Seok (Department of Mathematics, Hoseo University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 373-381 More about this Journal
Abstract
In this paper we determine all elements in the root lattice of symmetrizable generalized Kac-Moody algebras whose reflections preserve the root systems. Also we discuss elements in the root lattices whose reflection preserve the root lattices.
Keywords
Kac-Moody algebras; generalized Kac-Moody algebras; real root; imaginary root;
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