کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4589947 1334922 2015 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
2-supertransitive subfactors at index 3+5
ترجمه فارسی عنوان
زیر فاکتورهای انتقال 2 سوپر در شاخص 3 + 5
کلمات کلیدی
زیر فاکتورها، جبر پلانار، نظریه اسکین
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We introduce a new method for showing that a planar algebra is evaluable. In fact, this method is universal for finite depth subfactor planar algebras. By making careful choices in the method's application, one can often significantly reduce the complexity of the computations.Using our technique, we prove existence and uniqueness of a subfactor planar algebra with principal graph consisting of a diamond with arms of length 2 at opposite sides, which we call “2D2”. This is expected to be the last remaining construction required for the classification of subfactor planar algebras up to index 3+5.This classification will also require showing the uniqueness of the subfactor planar algebra with principal graph 4442. We include a short proof of this fact, known to Izumi but as yet unpublished.This is the published version of arXiv:1406.3401.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 269, Issue 9, 1 November 2015, Pages 2845–2870
نویسندگان
, ,