کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1892891 1533768 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On abelian group actions and Galois quantizations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
On abelian group actions and Galois quantizations
چکیده انگلیسی

Quantizations of actions of finite abelian groups GG are explicitly described by elements in the tensor square of the group algebra of GG. Over algebraically closed fields of characteristic 0 these are in one to one correspondence with the second cohomology group of the dual of GG. With certain adjustments this result is applied to group actions over any field of characteristic 0. In particular we consider the quantizations of Galois extensions, which are quantized by “deforming” the multiplication. For the splitting fields of products of quadratic polynomials this produces quantized Galois extensions that all are Clifford type algebras.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 70, August 2013, Pages 81–97
نویسندگان
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