کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582466 | 1333809 | 2010 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams On Ocneanu's theory of double triangle algebras for subfactors and classification of irreducible connections on the Dynkin diagrams](/preview/png/4582466.png)
چکیده انگلیسی
We give an exposition of Ocneanu's theory of double triangle algebras for subfactors and its application to the classification of irreducible bi-unitary connections on the Dynkin diagrams AnAn, DnDn, E6E6, E7E7 and E8E8. More precisely, we give a detailed proof of the complete classification of irreducible K–LK–L bi-unitary connections up to gauge choice, where K and L represent the two horizontal graphs which are among the A–D–EA–D–E Dynkin diagrams. The result also provides a simple proof of the flatness of D2nD2n, E6E6 and E8E8 connections as well as an easy computation of the flat part of E7E7 as an application.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 28, Issue 3, 2010, Pages 218–253
Journal: Expositiones Mathematicae - Volume 28, Issue 3, 2010, Pages 218–253
نویسندگان
Satoshi Goto,