کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602619 1631171 2008 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ternary derivations of finite-dimensional real division algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Ternary derivations of finite-dimensional real division algebras
چکیده انگلیسی

We present for each n∈{1,2,4,8} a group acting on the set of all division algebra structures on Rn, and an invariant, the Lie algebra of ternary derivations, for this action. An exploration of these structures is conducted in terms of this new invariant obtaining simple descriptions of the division algebras involved. In the course of the investigation another family of algebras is considered, among them the algebra sl(4,F) of 4×4 traceless matrices with the symmetric product shows an exceptional behavior.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issues 8–9, 15 April 2008, Pages 2192-2219