Normality of Nilpotent Varieties in E6
نویسنده
چکیده
We determine which nilpotent orbits in E6 have closures which are normal varieties and which do not. At the same time we are able to verify a conjecture in [14] concerning functions on nonspecial nilpotent orbits for E6.
منابع مشابه
Normality of Nilpotent Varieties
We determine which nilpotent orbits in E6 have closures which are normal varieties and which do not. At the same time we are able to verify a conjecture in [14] concerning functions on nonspecial nilpotent orbits for E6.
متن کاملSome Remarks on Nakajima’s Quiver Varieties of Type A
We try to clarify the relations between quiver varieties of type A and Kraft-Procesi proof of normality of nilpotent conjugacy classes closures.
متن کاملNormality of Orbit Closures in the Enhanced Nilpotent Cone
We continue the study of the closures of GL(V )-orbits in the enhanced nilpotent cone V × N begun by the first two authors. We prove that each closure is an invariant-theoretic quotient of a suitably-defined enhanced quiver variety. We conjecture, and prove in special cases, that these enhanced quiver varieties are normal complete intersections, implying that the enhanced nilpotent orbit closur...
متن کاملNormality of very even nilpotent varieties in D-2l
For the classical groups, Kraft and Procesi [4], [5] have resolved the question of which nilpotent orbits have closures which are normal and which are not, with the exception of the very even orbits inD2l which have partition of the form (a, b) for a > b even natural numbers satisfying ak + b = 2l. In this article, these orbits are shown to have normal closure using the technique of [8].
متن کاملClassification of Admissible Nilpotent Orbits in Simple Real Lie Algebras E6(6) and E6(−26)
This paper completes the classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie algebras. The author has previoulsly determined such orbits for exceptional real simple Lie algebras of inner type. Here he uses the same techniques, with some modifications, to classify the admissible nilpotent orbits of E6(6) and E6(−26) under their simply connected Lie groups.
متن کامل