کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893563 1533773 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The gl(1|1)gl(1|1) Lie superbialgebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
The gl(1|1)gl(1|1) Lie superbialgebras
چکیده انگلیسی

By direct calculations of matrix form of super Jacobi and mixed super Jacobi identities which are obtained from adjoint representation, and using the automorphism supergroup of the gl(1|1)gl(1|1) Lie superalgebra, we determine and classify all gl(1|1)gl(1|1) Lie superbialgebras. Then, by calculating their classical rr-matrices, the gl(1|1)gl(1|1) coboundary Lie superbialgebras and their types (triangular, quasi-triangular or factorizable) are determined, furthermore in this way super Poisson structures on the GL(1|1) Lie supergroup are obtained. Also, we classify Drinfeld superdoubles based on the gl(1|1)gl(1|1) as a theorem. Afterwards, as a physical application of the coboundary Lie superbialgebras, we construct a new integrable system on the homogeneous superspace OSp(1|2)/U(1). Finally, we make use of the Lyakhovsky and Mudrov formalism in order to build up the deformed gl(1|1)gl(1|1) Lie superalgebra related to all gl(1|1)gl(1|1) coboundary Lie superbialgebras. For one case, the quantization at the supergroup level is also provided, including its quantum RR-matrix.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 65, March 2013, Pages 7–25
نویسندگان
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