
Journal of Lie Theory 24 (2014), No. 2, 439455 Copyright Heldermann Verlag 2014 On Some Subvarieties of the Cartesian Powers of a Semisimple Lie Algebra Related to a Parabolic Subalgebra Mouchira Zaiter Lebanese University, Faculty of Sciences I, AlHadath Beirut, Lebanon zaiter.mouchira@hotmail.fr We describe some desingularizations of some subvarieties of the cartesian powers of a semisimple Lie algebra of finite dimension. Keywords: Lie algebra, parabolic subalgebra, desingularization, normalization. MSC: 14A10, 14L17, 22E20, 22E46 [ Fulltextpdf (433 KB)] for subscribers only. 