کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592144 | 1335077 | 2007 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A generalized Harish-Chandra method of descent for reductive Lie algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A generalized Harish-Chandra method of descent for reductive Lie algebras A generalized Harish-Chandra method of descent for reductive Lie algebras](/preview/png/4592144.png)
چکیده انگلیسی
Let G be a connected real reductive group and M a connected reductive subgroup of G with Lie algebras g and m, respectively. We assume that g and m have the same rank. We define a map from the space of orbital integrals of m into the space of orbital integrals of g which we call a transfer. We then consider the transpose of the transfer. This can be viewed as a map from the space of G-invariant distributions of g to the space of M-invariant distributions of m and can be considered as a restriction map from g to m. We prove that this map extends Harish-Chandra method of descent and we obtain a generalization of the radial component theorem. We give an application.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 249, Issue 1, 1 August 2007, Pages 143-170
Journal: Journal of Functional Analysis - Volume 249, Issue 1, 1 August 2007, Pages 143-170