کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493447 | 1334242 | 2005 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Some interrelations between Hopf algebras and their duals
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper we study certain interrelations between subsets of Hopf algebras H and their duals which stem from various morphisms T defined on H. We define and study T-cocommutative elements. Cocommutative elements, generators of H as an Hâ-module and invariants under various actions and coactions are all examples. An important role is played by Nakayama automorphisms. These ideas are applied to (co)quasitriangular Hopf algebras, in particular when they are factorizable. Then the Drinfeld element gives rise to a Nakayama automorphism and to a special element in the dual. Explicit calculations are carried out for the Drinfeld double.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 283, Issue 1, 1 January 2005, Pages 42-62
Journal: Journal of Algebra - Volume 283, Issue 1, 1 January 2005, Pages 42-62
نویسندگان
Miriam Cohen, Sara Westreich,