کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895014 1044265 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Construction of a central extension of a Lie group from its class of symplectic cohomology
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Construction of a central extension of a Lie group from its class of symplectic cohomology
چکیده انگلیسی

Bargmann’s group is a central extension of Galilei group motivated by quantum-theoretical considerations. Bargmann’s work suggests that one of the reasons of the failure of naïve attemps to construct actions on quantum wave functions has a cohomologic origin. It is this point, we develop in the context of Lie groups with symplectic actions. Studying the co-adjoint representation of a central extension of a group GG, we highlight the link between the extension cocycles and the symplectic cocycles of GG. Also, each extension coboundary corresponds to a symplectic coboundary. Finally, we emphasize the condition to be satisfied by the extension cocycle for the class of symplectic cohomology of the extension being null. The method is illustrated by application to Physics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 60, Issue 2, February 2010, Pages 165–174
نویسندگان
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