A NOTE ON ABELIAN IDEALS OF A BOREL SUBALGEBRA

Authors : Namhee Kwon

Pages : 51-54

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Publication Date : 2007-06-01

Article Type : Research Paper

Abstract :In this paper we will construct a specific subset of a positive root system of a simple Lie algebra, and will show that our subset can yield an abelian ideal of a Borel subalgebra.
Keywords : Complex simple Lie algebra, affine root system, compatible set, abelian ideal