کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8897623 | 1630745 | 2018 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Classifying bicrossed products of two Taft algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We classify all Hopf algebras which factor through two Taft algebras Tn2(qâ¾) and respectively Tm2(q). To start with, all possible matched pairs between the two Taft algebras are described: if qâ¾â qnâ1 then the matched pairs are in bijection with the group of d-th roots of unity in k, where d=(m,n) while if qâ¾=qnâ1 then besides the matched pairs above we obtain an additional family of matched pairs indexed by kâ. The corresponding bicrossed products (double cross product in Majid's terminology) are explicitly described by generators and relations and classified. As a consequence of our approach, we are able to compute the number of isomorphism types of these bicrossed products as well as to describe their automorphism groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 4, April 2018, Pages 914-930
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 4, April 2018, Pages 914-930
نویسندگان
A.L. Agore,