Study of q-commutations in Uq(n+) Algebra Original Research Article

Let g be a semi-simple Lie algebra with maximal nilpotent subalgebra n+. Let imageq(g) and Uq(n+) be the quantized enveloping algebras. We describe the set of normal elements of Uq(n+). We prove that each ideal of Uq(n+) can be generated by a normal sequence.