scholarly journals Portage: A Modular Data Remap Library for Multiphysics Applications on Advanced Architectures

2021 ◽  
Vol 9 ◽  
Author(s):  
Angela Herring ◽  
Charles Ferenbaugh ◽  
Christopher Malone ◽  
Daniel Shevitz ◽  
Evgeny Kikinzon ◽  
...  
Keyword(s):  
Modular Data

scholarly journals The center of the extended Haagerup subfactor has 22 simple objects

2017 ◽  
Vol 28 (01) ◽  
pp. 1750009 ◽  
Author(s):  
Scott Morrison ◽  
Kevin Walker
Keyword(s):  
Fusion Category ◽  
Dimension Function ◽  
Fusion Ring ◽  
Fusion Categories ◽  
Modular Data ◽  
Grothendieck Rings ◽  
Combinatorial Data

We explain a technique for discovering the number of simple objects in [Formula: see text], the center of a fusion category [Formula: see text], as well as the combinatorial data of the induction and restriction functors at the level of Grothendieck rings. The only input is the fusion ring [Formula: see text] and the dimension function [Formula: see text]. In particular, we apply this to deduce that the center of the extended Haagerup subfactor has 22 simple objects, along with their decompositions as objects in either of the fusion categories associated to the subfactor. This information has been used subsequently in [T. Gannon and S. Morrison, Modular data for the extended Haagerup subfactor (2016), arXiv:1606.07165 .] to compute the full modular data. This is the published version of arXiv:1404.3955 .

Realization problems of cryptographic transformations by transfer of modular data in security systems

2015 ◽  
Author(s):  
Chervyakov Nikolai Ivanovich ◽  
Babenko Mikhail Grigor'evich ◽  
Nazarov Anton Sergeevich ◽  
Garianina Anastasiia Igorevna
Keyword(s):  
Security Systems ◽  
Modular Data
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