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Journal of Lie Theory 24 (2014), No. 2, 439--455
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, Al-Hadath Beirut, Lebanon

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

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