کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587589 1334150 2009 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extremal presentations for classical Lie algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Extremal presentations for classical Lie algebras
چکیده انگلیسی

The long-root elements in Lie algebras of Chevalley type have been well studied and can be characterized as extremal elements, that is, elements x such that the image of 2(adx) lies in the subspace spanned by x. In this paper, assuming an algebraically closed base field of characteristic not 2, we find presentations of the Lie algebras of classical Chevalley type by means of minimal sets of extremal generators. The relations are described by simple graphs on the sets. For example, for Cn the graph is a path of length 2n, and for An the graph is the triangle connected to a path of length n−3.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 322, Issue 2, 15 July 2009, Pages 295-326