کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772117 | 1630440 | 2017 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Representations of McLain groups
ترجمه فارسی عنوان
نمایندگان گروه مک لین
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Basic modules of McLain groups M=M(Î,â¤,R) are defined and investigated. These are (possibly infinite dimensional) analogues of André's supercharacters of Un(q). The ring R needs not be finite or commutative and the field underlying our representations is essentially arbitrary: we deal with all characteristics, prime or zero, on an equal basis. The set Î, totally ordered by â¤, is allowed to be infinite. We show that distinct basic modules are disjoint, determine the dimension of the endomorphism algebra of a basic module, find when a basic module is irreducible, and exhibit a full decomposition of a basic module as direct sum of irreducible submodules, including their multiplicities. Several examples of this decomposition are presented, and a criterion for a basic module to be multiplicity-free is given. In general, not every irreducible module of a McLain group is a constituent of a basic module.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 474, 15 March 2017, Pages 288-328
Journal: Journal of Algebra - Volume 474, 15 March 2017, Pages 288-328
نویسندگان
Fernando Szechtman, Allen Herman, Mohammad A. Izadi,