کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665379 1633806 2015 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs
چکیده انگلیسی
Building on a result by W. Rump, we show how to exploit the right-cyclic law (xy)(xz)=(yx)(yz) in order to investigate the structure groups and monoids attached with (involutive nondegenerate) set-theoretic solutions of the Yang-Baxter equation. We develop a sort of right-cyclic calculus, and use it to obtain short proofs for the existence both of the Garside structure and of the I-structure of such groups. We describe finite quotients that play for the considered groups the role that Coxeter groups play for Artin-Tits groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 282, 10 September 2015, Pages 93-127
نویسندگان
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