Haagerup subfactor
WebThe Extended Haagerup subfactor has two even parts EH1 and EH2. These fusion categories are mysterious and are the only known fusion categories which appear to be unrelated to finite groups ... WebJan 10, 2014 · I’ll tell you about some of the most exciting examples, including the Temperley-Lieb algebra (and its relation to knot theory), the color-counting planar algebra (and the five-color theorem), and the extended Haagerup subfactor (joint work with Bigelow, Morrison and Snyder).
Haagerup subfactor
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WebApr 15, 2014 · In this paper we construct two new fusion categories and many new subfactors related to the exceptional Extended Haagerup subfactor. The Extended … WebSep 30, 2024 · Abstract. We compute the modular data (that is, the S and T matrices) for the centre of the extended Haagerup subfactor [ BMPS12 ]. The full structure (i.e., the …
WebMar 1, 2012 · In addition to the two even parts of the Haagerup subfactor, there is exactly one more fusion category which is Morita equivalent to each of them. This third fusion category has six simple objects and the same fusion rules as one of the even parts of the Haagerup subfactor, but has not previously appeared in the literature. Uffe Haagerup's mathematical focus has been on the fields of operator algebra, group theory and geometry, but his publications has a broad scope and also involves free probability theory and random matrices. He has participated in many international mathematical groups and networks from early on, and has worked as ordinary contributor and participator, organizer, lecturer and editor.
WebJan 29, 2015 · The first subfactor above index 4, the Haagerup subfactor, is increasingly well understood and appears to lie in a (discrete) infinite family of subfactors where the \mathbb{Z} /3 \mathbb{Z} symmetry is replaced by other finite abelian groups. The goal of this paper is to give a similarly good description of the Asaeda–Haagerup subfactor ... http://web.math.ku.dk/~haagerup/index.php?show=all
WebIn [AH99] Asaeda and Haagerup constructed two “exotic” subfactors, which were the first examples of subfactors not coming from groups or quantum groups in an …
WebJan 25, 2012 · The Haagerup subfactor is the smallest index finite depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra … blue pitbull breeders in ohioWebHaagerup’s original result did not specify which of the possible principal graphs are actually realized. Considerable progress has since been made in this direction. Asaeda and Haagerup [2] proved the existence and uniqueness of a subfactor pla-nar algebra whose principal graphs are H0 (called the Haagerup subfactor), and clearing printer queue windows 7WebTo construct the extended Haagerup subfactor, we start with the graph planar algebra of its principal graph eH. GPA(eH) 8;+ is 148475-dimensional; luckily the subspace X of uncappable, ˆ= 1 elements of GPA(eH) 8;+ is only 19-dimensional. Unluckily, it is not natural in our given basis. We nd an element S 2X which further satis es S S 8 8 8 = f ... blue pitbull puppies for sale in houston txWebSep 26, 2012 · We construct a new subfactor planar algebra, and as a corollary a new subfactor, with the ‘extended Haagerup’ principal graph pair. This completes the … blue pitbull puppies for sale in michiganWebdepth 6, with one exception, the principal graph of the Haagerup subfactor. A II 1 subfactor is an inclusion AˆBof in nite von Neumann algebras with trivial centre and a compatible trace with tr(1) = 1. In this setting, one can analyze the bimodules generated by AB B and BB A. The principal graph of a subfactor has as vertices the blue pitbull cropped earsWebThe Extended Haagerup subfactor has two even parts EH1 and EH2. These fusion categories are mysterious and are the only known fusion categories which appear to be unrelated to finite groups ... blue pitbull breeders near meWebThe Haagerup subfactor is the smallest index finite-depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra associated to the … blue pitbull puppies for adoption near me