کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5500405 1534235 2017 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Duality for Graded Manifolds
ترجمه فارسی عنوان
دوگانگی برای منیفولد درجه بندی شده
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
We study the notion of duality in the context of graded manifolds. For graded bundles, somehow like in the case of Gelfand representation and the duality: points vs. functions, we obtain natural dual objects which belong to a different category than the initial ones, namely graded polynomial (co)algebra bundles and free graded Weil (co)algebra bundles. Our results are then applied to obtain elegant characterizations of double vector bundles and graded bundles of degree 2. All these results have their supergeometric counterparts. For instance, we give a simple proof of a nice characterisation of N-manifolds of degree 2, announced in the literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 80, Issue 1, August 2017, Pages 115-142
نویسندگان
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