Weba subfactor. The same approach was used in [17] to construct, and thoroughly analyze, the D 2n planar algebra. The rst new subfactor constructed in this way was the extended Haagerup subfactor [1]. As in the E 8 case, the D 2n planar algebra is de ned by a single uncappable generator and a list of relations, including a braiding relation of the ... 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 …
[2101.04154] Microscopic Models for Fusion Categories
WebSep 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 … WebThe 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 … my pillow twin size mattress topper
Planar algebra - HandWiki
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 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). 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 … the second coming.exe stick figure download