کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4605822 1631347 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Kirillov structures up to homotopy
ترجمه فارسی عنوان
کیریلوف به همتپوپی متصل می شود
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

We present the notion of higher Kirillov brackets on the sections of an even line bundle over a supermanifold. When the line bundle is trivial we shall speak of higher Jacobi brackets  . These brackets are understood furnishing the module of sections with an L∞L∞-algebra, which we refer to as a homotopy Kirillov algebra. We are then led to higher Kirillov algebroids as higher generalisations of Jacobi algebroids. Furthermore, we show how to associate a higher Kirillov algebroid and a homotopy BV-algebra with every higher Kirillov manifold. In short, we construct homotopy versions of some of the well-known theorems related to Kirillov's local Lie algebras.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 48, October 2016, Pages 72–86
نویسندگان
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