کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1896006 1044410 2009 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coideal algebras from twisted Manin triples
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Coideal algebras from twisted Manin triples
چکیده انگلیسی

We propose a new approach to study coideal algebras. It is well-known that Manin triples (or equivalently Lie bi-algebra structures) are the requirement to deform Lie algebras and to obtain quantum groups. In this paper, introducing some particular automorphisms of Manin triples, we define new structures that we call Lie bi-ideal structures. A link with coisotropic subalgebras is explained. We show that their deformation provide coideal algebras. As examples, we recover from our general construction the twisted Yangians Y±(sl(2))Y±(sl(2)), the q-Onsager algebra and the augmented q-Onsager algebra. As an important by-product, we find a new presentation for the twisted Yangians.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 62, Issue 10, October 2012, Pages 2009–2023
نویسندگان
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