کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583892 1630460 2016 45 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Triviality theorems for Yetter-Drinfel'd Hopf algebras
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Triviality theorems for Yetter-Drinfel'd Hopf algebras
چکیده انگلیسی
Under suitable assumptions on the base field, we prove that a commutative semisimple Yetter-Drinfel'd Hopf algebra over a finite abelian group is trivial, i.e., is an ordinary Hopf algebra, if its dimension is relatively prime to the order of the finite abelian group. Furthermore, we prove that a finite-dimensional cocommutative cosemisimple Yetter-Drinfel'd Hopf algebra contains a trivial Yetter-Drinfel'd Hopf subalgebra of dimension greater than one, at least if the Yetter-Drinfel'd Hopf algebra itself has dimension greater than one.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 454, 15 May 2016, Pages 475-519
نویسندگان
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