Non-Hyperoctahedral Categories of Two-Colored Partitions, Part II: All Possible Parameter Values

التفاصيل البيبلوغرافية
العنوان: Non-Hyperoctahedral Categories of Two-Colored Partitions, Part II: All Possible Parameter Values
المؤلفون: Mang, Alexander, Weber, Moritz
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, Mathematics - Quantum Algebra, 05A18 (Primary), 20G42 (Secondary)
الوصف: This article is part of a series with the aim of classifying all non-hyperoctahedral categories of two-colored partitions. Those constitute by some Tannaka-Krein type result the co-representation categories of a specific class of quantum groups. However, our series of articles is purely combinatorial. In Part I we introduced a class of parameters which gave rise to many new non-hyperoctahedral categories of partitions. In the present article we show that this class actually contains all possible parameter values of all non-hyperoctahedral categories of partitions. This is an important step towards the classification of all non-hyperoctahedral categories.
Comment: 34 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2003.00569
رقم الأكسشن: edsarx.2003.00569
قاعدة البيانات: arXiv