کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592345 | 1335092 | 2009 | 43 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quantum group of orientation-preserving Riemannian isometries
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quantum group of orientation-preserving Riemannian isometries Quantum group of orientation-preserving Riemannian isometries](/preview/png/4592345.png)
چکیده انگلیسی
We formulate a quantum group analogue of the group of orientation-preserving Riemannian isometries of a compact Riemannian spin manifold, more generally, of a (possibly R-twisted and of compact type) spectral triple. The main advantage of this formulation, which is directly in terms of the Dirac operator, is that it does not need the existence of any ‘good’ Laplacian as in our previous works on quantum isometry groups. Several interesting examples, including those coming from Rieffel-type deformation as well as the equivariant spectral triples on SUμ(2) and are discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 257, Issue 8, 15 October 2009, Pages 2530-2572
Journal: Journal of Functional Analysis - Volume 257, Issue 8, 15 October 2009, Pages 2530-2572