A NORMAL FORM FOR ADMISSIBLE CHARACTERS IN THE SENSE OF LYNCH

摘要: Parabolic subalgebras p of semisimple Lie algebras define a Z-grading the algebra. If there exists nilpotent element in first graded part g on which adjoint group acts with dense orbit, parabolic subalgebra is said to be nice. The corresponding also called admissible. Nice simple have been classified. In case Borel Richardson g1 exactly one that involves all root spaces. It however difficult write down such elements for general subalgebras. this paper we give an explicit construction admissible uses as few spaces possible.