کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6426040 1345424 2011 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lie algebras associated to systems of Dyson-Schwinger equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Lie algebras associated to systems of Dyson-Schwinger equations
چکیده انگلیسی

We consider systems of combinatorial Dyson-Schwinger equations in the Connes-Kreimer Hopf algebra HI of rooted trees decorated by a set I. Let H(S) be the subalgebra of HI generated by the homogeneous components of the unique solution of this system. If it is a Hopf subalgebra, we describe it as the dual of the enveloping algebra of a Lie algebra g(S) of one of the following types:1.g(S) is an associative algebra of paths associated to a certain oriented graph.2.Or g(S) is an iterated extension of the Faà di Bruno Lie algebra.3.Or g(S) is an iterated extension of an infinite-dimensional abelian Lie algebra. We also describe the character groups of H(S).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 226, Issue 6, 1 April 2011, Pages 4702-4730
نویسندگان
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