کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493355 | 1334237 | 2005 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Richardson orbits for real classical groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Richardson orbits for real classical groups Richardson orbits for real classical groups](/preview/png/9493355.png)
چکیده انگلیسی
For classical real Lie groups, we compute the annihilators and associated varieties of the derived functor modules cohomologically induced from the trivial representation. (Generalizing the standard terminology for complex groups, the nilpotent orbits that arise as such associated varieties are called Richardson orbits.) We show that every complex special orbit has a real form which is Richardson. As a consequence of the annihilator calculations, we give many new infinite families of simple highest weight modules with irreducible associated varieties. Finally we sketch the analogous computations for singular derived functor modules in the weakly fair range and, as an application, outline a method to detect non-normality of complex nilpotent orbit closures.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 286, Issue 2, 15 April 2005, Pages 361-385
Journal: Journal of Algebra - Volume 286, Issue 2, 15 April 2005, Pages 361-385
نویسندگان
Peter E. Trapa,