On the Nilpotency of Certain Subalgebras of Kac-Moody Lie Algebras

摘要

Let g = n_ h n+ be an indecomposable Kac-Moody Lie algebra associated with the generalized Cartan matrix A=(a_(ij)) and W be its Weyl group. For w ∈ W, we study the nilpotency index of the subalgebra S_w =n_+ ∩ w(n_-) and find that it is bounded by a constant