کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6421591 | 1631825 | 2014 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Rota-Baxter operators on 4-dimensional complex simple associative algebras
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Rota-Baxter operators or relations were introduced to solve certain analytic and combinatorial problems and then applied to many fields in mathematics and mathematical physics. In this paper, we commence to study the Rota-Baxter operators of weight zero on a 4-dimensional complex simple associative algebra, which is isomorphic to the algebra of all 2Ã2 matrices over the field of complex numbers. Such operators satisfy (the operator form of) the classical Yang-Baxter equation on the general linear Lie algebra gl2(C). We provide two different solving methods: one by hand to show some tricks for solving a large nonlinear system, and another one by Computer Algebra to show the possibility of solving higher dimensional cases.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 229, 25 February 2014, Pages 173-186
Journal: Applied Mathematics and Computation - Volume 229, 25 February 2014, Pages 173-186
نویسندگان
Xiaomin Tang, Yang Zhang, Qiong Sun,