کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414239 1630454 2016 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pointed Hopf actions on fields, II
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Pointed Hopf actions on fields, II
چکیده انگلیسی

This is a continuation of the authors' study of finite-dimensional pointed Hopf algebras H which act inner faithfully on commutative domains. As mentioned in Part I of this work, the study boils down to the case where H acts inner faithfully on a field. These Hopf algebras are referred to as Galois-theoretical.In this work, we provide classification results for finite-dimensional pointed Galois-theoretical Hopf algebras H of finite Cartan type. Namely, we determine when such H of type A1×r and some H of rank two possess the Galois-theoretical property. Moreover, we provide necessary and sufficient conditions for Reshetikhin twists of small quantum groups to be Galois-theoretical.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 460, 15 August 2016, Pages 253-283
نویسندگان
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