کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414981 1334100 2011 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Milnor-Moore type theorem for primitively generated braided bialgebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A Milnor-Moore type theorem for primitively generated braided bialgebras
چکیده انگلیسی

A braided bialgebra is called primitively generated if it is generated as an algebra by its space of primitive elements. We prove that any primitively generated braided bialgebra is isomorphic to the universal enveloping algebra of its infinitesimal braided Lie algebra, notions hereby introduced. This result can be regarded as a Milnor-Moore type theorem for primitively generated braided bialgebras and leads to the introduction of a concept of braided Lie algebra for an arbitrary braided vector space.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 327, Issue 1, 1 February 2011, Pages 337-365
نویسندگان
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