کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4586099 1334085 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Components of Springer fibers associated to closed orbits for the symmetric pairs (Sp(2n),GL(n)) and (O(n),O(p)×O(q)) II
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Components of Springer fibers associated to closed orbits for the symmetric pairs (Sp(2n),GL(n)) and (O(n),O(p)×O(q)) II
چکیده انگلیسی

Let (G,K) be either (Sp(2n),GL(n)) or (O(n),O(p)×O(q)), p+q=n. This is the second of two articles describing the structure of certain components of Springer fibers related to the pair (G,K). The results of the first are used to show that certain components of Springer fibers are iterated bundles. Several consequences, including a vanishing theorem for sheaf cohomology, are given. It is shown that for (Sp(2n),GL(n)) a maximal torus of K acts on these components.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 345, Issue 1, 1 November 2011, Pages 100-108