کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895678 1533758 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quantizations of compact Lie group actions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Quantizations of compact Lie group actions
چکیده انگلیسی
In this paper we describe quantizations in the monoidal categories of unitary representations of compact connected Lie groups. For the n-dimensional torus T we show that the set Q(T) of quantizations is isomorphic to the (n2)-dimensional torus. For connected compact Lie groups G of rank n, we get the result that the set QE(G) of extendible quantizations of G-modules is isomorphic to the set of quantizations of its maximal torus T invariant under action by its Weyl group. For all these cases we give explicit formulae for quantizations and apply these to quantize Hilbert-Schmidt operators.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 80, June 2014, Pages 26-36
نویسندگان
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