کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414590 1630501 2014 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quantized coordinate rings of the unipotent radicals of the standard Borel subgroups in SLn+1
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Quantized coordinate rings of the unipotent radicals of the standard Borel subgroups in SLn+1
چکیده انگلیسی

In this paper we find noncommutative analogues of the coordinate rings of the unipotent radicals of the standard Borel subgroups in SLn+1. Two subalgebras of the quantized coordinate ring of the standard Borel in SLn+1 are defined, both of which can be considered quantizations of the unipotent radical. Presentations are given for these algebras and they are proven to be isomorphic. It is the shown that these algebras also arise as coinvariants of a natural comodule algebra action using the Hopf Algebra structure of Oq(SLn+1). Finally, using a dual paring, it is shown that these algebras are isomorphic Uq±(sln+1).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 413, 1 September 2014, Pages 226-246
نویسندگان
,