کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1898870 1044795 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On (α,β,γ)(α,β,γ)-derivations of Lie algebras and corresponding invariant functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
On (α,β,γ)(α,β,γ)-derivations of Lie algebras and corresponding invariant functions
چکیده انگلیسی

We consider finite dimensional complex Lie algebras. We generalize the concept of Lie derivations via certain complex parameters and obtain various Lie and Jordan operator algebras as well as two one-parametric sets of linear operators. Using these parametric sets, we introduce complex functions with a fundamental property — invariance under Lie isomorphisms. One of these basis-independent functions represents a complete set of invariant(s) for three-dimensional Lie algebras. We present also its application to physically motivated examples in dimension 8.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 58, Issue 2, February 2008, Pages 208–217
نویسندگان
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