کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596177 1336154 2015 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quantum automorphism groups and SO(3)SO(3)-deformations
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Quantum automorphism groups and SO(3)SO(3)-deformations
چکیده انگلیسی

We show that any compact quantum group having the same fusion rules as the ones of SO(3)SO(3) is the quantum automorphism group of a pair (A,φ)(A,φ), where A   is a finite dimensional C⁎C⁎-algebra endowed with a homogeneous faithful state. We also study the representation category of the quantum automorphism group of (A,φ)(A,φ) when φ   is not necessarily positive, generalizing some known results, and we discuss the possibility of classifying the cosemisimple (not necessarily compact) Hopf algebras whose corepresentation semi-ring is isomorphic to that of SO(3)SO(3).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 219, Issue 1, January 2015, Pages 1–32
نویسندگان
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