کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590219 1334941 2014 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Structure of the degenerate principal series on symmetric R-spaces and small representations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Structure of the degenerate principal series on symmetric R-spaces and small representations
چکیده انگلیسی

Let G be a simple real Lie group with maximal parabolic subgroup P   whose nilradical is abelian. Then X=G/PX=G/P is called a symmetric R-space. We study the degenerate principal series representations of G   on C∞(X)C∞(X) in the case where P   is not conjugate to its opposite parabolic. We find the points of reducibility, the composition series and all unitarizable constituents. Among the unitarizable constituents we identify some small representations having as associated variety the minimal nilpotent KCKC-orbit in pC⁎, where KCKC is the complexification of a maximal compact subgroup K⊆GK⊆G and g=k+pg=k+p the corresponding Cartan decomposition.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 266, Issue 6, 15 March 2014, Pages 3508–3542
نویسندگان
, ,