کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587951 1334166 2008 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the blocks of semisimple algebraic groups and associated generalized Schur algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the blocks of semisimple algebraic groups and associated generalized Schur algebras
چکیده انگلیسی

In this paper we give a new proof for the description of the blocks of any semisimple simply connected algebraic group when the characteristic of the field is greater than 5. The first proof was given by Donkin and works in arbitrary characteristic. Our new proof has two advantages. First we obtain a bound on the length of a minimum chain linking two weights in the same block. Second we obtain a sufficient condition on saturated subsets π of the set of dominant weights which ensures that the blocks of the associated generalized Schur algebra are simply the intersection of the blocks of the algebraic group with the set π. However, we show that this is not the case in general for the symplectic Schur algebras, disproving a conjecture of Renner.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 3, 1 February 2008, Pages 952-965