کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8897540 1630742 2018 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2
چکیده انگلیسی
Let p and q be distinct prime numbers. We study the Galois objects and cocycle deformations of the noncommutative, noncocommutative, semisimple Hopf algebras of odd dimension p3 and of dimension pq2. We obtain that the p+1 non-isomorphic self-dual semisimple Hopf algebras of dimension p3 classified by Masuoka have no non-trivial cocycle deformations, extending his previous results for the 8-dimensional Kac-Paljutkin Hopf algebra. This is done as a consequence of the classification of categorical Morita equivalence classes among semisimple Hopf algebras of odd dimension p3, established by the third-named author in an appendix.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 7, July 2018, Pages 1643-1669
نویسندگان
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