Whittakerovi moduli i pravila fuzije za Weylovu verteks-algebru, afine verteks-algebre i njihove invarijantne podalgebre

Autor: Pedić Tomić, Veronika

The topic of this thesis are two problems in the vertex operator algebra theory: determination of fusion rules and the orbifold problem. For the fusion rules problem we study the example of Weyl vertex algebra, also known as the \(\beta\gamma\) ghost

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::cd6404b63958c57e7a1f264b1fe73abe
https://repozitorij.pmf.unizg.hr/islandora/object/pmf:10337

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Amenable Tensor Categories and Their Realizations as AFD Bimodules

Autor: Shigeru Yamagami, Tomohiro Hayashi

Publikováno v: Journal of Functional Analysis. 172:19-75

Amenable C*-tensor categories are realized as bimodules of finite Jones index over the AFD II1-factor.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af7c4305b5a6f7856bb81b5b089b331f
https://doi.org/10.1006/jfan.1999.3521

From modular invariants to graphs: the modular splitting method

Autor: Gil Schieber, Esteban Isasi

Publikováno v: Journal of Physics A: Mathematical and Theoretical
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2007, p. 6513-6537, http://stacks.iop.org/1751-8121/40/6513
Journal of Physics A: Mathematical and Theoretical, 2007, 40, p. 6513-6537, http://stacks.iop.org/1751-8121/40/6513

We start with a given modular invariant M of a two dimensional su(n)_k conformal field theory (CFT) and present a general method for solving the Ocneanu modular splitting equation and then determine, in a step-by-step explicit construction, 1) the ge

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ef00a05672d47539ac2c3740ddef148
https://hal.archives-ouvertes.fr/hal-00098045v2/document

Realization of amenable bicategories and weak amenability of fusion algebras

Autor: Tomohiro Hayashi

Publikováno v: J. Math. Soc. Japan 53, no. 1 (2001), 147-174

In this paper, we consider the realization problem of amenable bicategories by using AFD-bimodules. As a corollary, we can realize an amenable standard lattice as that of an AFD $\mathrm{II}_{1}$ -subfactor. This gives another proof of S. Popa's theo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b52b30cb21c8b60f97c0fb924d0e7d4
http://projecteuclid.org/euclid.jmsj/1213023975