کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603468 1336962 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Novikov algebras and Novikov structures on Lie algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Novikov algebras and Novikov structures on Lie algebras
چکیده انگلیسی

We study ideals of Novikov algebras and Novikov structures on finite-dimensional Lie algebras. We present the first example of a three-step nilpotent Lie algebra which does not admit a Novikov structure. On the other hand we show that any free three-step nilpotent Lie algebra admits a Novikov structure. We study the existence question also for Lie algebras of triangular matrices. Finally we show that there are families of Lie algebras of arbitrary high solvability class which admit Novikov structures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 1, 1 July 2008, Pages 31-41