کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584793 1630506 2014 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On branching rules of depth-zero representations
ترجمه فارسی عنوان
در قوانین انشعاب نمایندگی عمق صفر
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
Using Bruhat-Tits theory, we analyze the restriction of depth-zero representations of a semisimple simply connected p-adic group G to a maximal compact subgroup K. We prove the coincidence of branching rules within classes of Deligne-Lusztig supercuspidal representations. Furthermore, we show that under obvious compatibility conditions, the restriction to K of a Deligne-Lusztig supercuspidal representation of G intertwines with the restriction of a depth-zero principal series representation in infinitely many distinct components of arbitrarily large depth. Several qualitative and quantitative results are obtained, and their use is illustrated in an example.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 408, 15 June 2014, Pages 1-27
نویسندگان
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