کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4586694 1334110 2009 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing Chevalley bases in small characteristics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Computing Chevalley bases in small characteristics
چکیده انگلیسی

Let L be the Lie algebra of a simple algebraic group defined over a field F and let H be a split maximal toral subalgebra of L. Then L has a Chevalley basis with respect to H. If char(F)≠2,3, it is known how to find it. In this paper, we treat the remaining two characteristics. To this end, we present a few new methods, implemented in Magma, which vary from the computation of centralizers of one root space in another to the computation of a specific part of the Lie algebra of derivations of L.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 322, Issue 3, 1 August 2009, Pages 703-721