کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414787 1630516 2014 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Are we counting or measuring something?
ترجمه فارسی عنوان
آیا ما شمارش یا اندازه گیری چیزی می کنیم؟
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Let H be a semisimple Hopf algebras over an algebraically closed field k of characteristic 0. We define Hopf algebraic analogues of commutators and their generalizations and show how they are related to H′, the Hopf algebraic analogue of the commutator subgroup. We introduce a family of central elements of H′, which on one hand generate H′ and on the other hand give rise to a family of functionals on H. When H=kG, G a finite group, these functionals are counting functions on G. It is not clear yet to what extent they measure any specific invariant of the Hopf algebra. However, when H is quasitriangular they are at least characters on H.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 398, 15 January 2014, Pages 111-130
نویسندگان
, ,