کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5772032 1630429 2017 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Decomposition of Garside groups and self-similar L-algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Decomposition of Garside groups and self-similar L-algebras
چکیده انگلیسی
Picantin's iterated crossed product representation of Garside monoids is extended and reproved for a wide class of not necessarily noetherian partially ordered groups with a right invariant lattice structure. It is shown that the tree-like structure of such an iterated crossed product is equivalent to a partial cycle set, closely related to a class of set-theoretic solutions of the quantum Yang-Baxter equation. The decomposition of finite square-free solutions is related to the crossed product representation of the corresponding structure group.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 485, 1 September 2017, Pages 118-141
نویسندگان
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