کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584938 1630512 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing quaternion quotient graphs via representations of orders
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Computing quaternion quotient graphs via representations of orders
چکیده انگلیسی
We give a method to describe the quotient of the local Bruhat-Tits tree TP for PGL2(K), where K is a global function field, by certain subgroups of PGL2(K) of arithmetical significance. In particular, we can compute the quotient of TP by an arithmetic subgroup PGL2(A), where A=AP is the ring of functions that are regular outside P, recursively for a place P of any degree, when K is a rational function field. We achieve this by proving that the infinite matrices whose coordinates are the numbers of neighbors of a vertex in TP corresponding to orders in a fixed isomorphism class commute for different places P, using tools from the theory of representations of orders. The latter result holds for every global function field K.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 402, 15 March 2014, Pages 258-279
نویسندگان
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