کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587853 1334162 2008 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Presentation by conjugation for A1-type extended affine Weyl groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Presentation by conjugation for A1-type extended affine Weyl groups
چکیده انگلیسی

There is a well-known presentation for finite and affine Weyl groups called the presentation by conjugation. Recently, it has been proved that this presentation holds for certain sub-classes of extended affine Weyl groups, the Weyl groups of extended affine root systems. In particular, it is shown that if nullity is ⩽2, an A1-type extended affine Weyl group has the presentation by conjugation. We set up a general framework for the study of simply laced extended affine Weyl groups. As a result, we obtain certain necessary and sufficient conditions for an A1-type extended affine Weyl group of arbitrary nullity to have the presentation by conjugation. This gives an affirmative answer to a conjecture that there are extended affine Weyl groups which are not presented by “presentation by conjugation.”

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 4, 15 February 2008, Pages 1428-1449