Fusion category
WebThis is a primal example of what is known as a fusion category. De nition 1. A fusion category is a category Csuch that: 1. Cis k-linear (i.e. abelian with hom-sets actually k … The name “fusion category” comes from the central examples of structures whose canonical tensor product is called a “fusion product”, notably representations of loop groups and … See more Here are three things such that it’d be awesome if they were sorted out on this page: 1. Kuperberg’s theorem saying that abelian semisimple implies linear over some field. Finite, … See more
Fusion category
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WebDec 5, 2024 · Such data defines a Turaev-Viro/Levin-Wen model in 2+1D, while a 1+1D system with this fusion category acting as a global symmetry defines a boundary … WebMay 19, 2009 · Abstract. Let C be a fusion category faithfully graded by a finite group G and let D be the trivial component of this grading. The center Z (C) of C is shown to be canonically equivalent to a G ...
WebA unitary fusion category is a fusion category with a C ∗ -tensor structure. Hence, in principle, a fusion category could have more than one unitary structure. Does exist a … WebFind many great new & used options and get the best deals for Spenco Fusion 2 - Women's Orthotic Recovery Sandal Black - 7 at the best online prices at eBay! Free shipping for …
Web1 day ago · Fusion energy holds the potential to achieve and sustain a significant reduction in global emissions.”. There’s no doubt that funding fusion is challenging, involving high upfront costs, long ... WebFusion categories (over $\mathbb{C}$) are a natural generalization of finite groups and their behavior over $\mathbb{C}$. The complex representation theory of a finite group is a fusion category, but there are many others. In fact, you can think of a fusion category as a non-commutative, non-cocommutative generalization of a finite group. ...
WebLet B and C be two Witt equivalent non-degenerate fusion categories over a symmetric fusion category E, moreover B ≅ E ⊠ D where D is non-degenerate. Then C admits a minimal extension A. In addition, [C] = [E ⊠ A]. Proof. By assumption, there exists a fusion category A 1 over E such that there is a braided equivalence C ⊠ E B rev ≅ Z ...
WebFind many great new & used options and get the best deals for 3pcs Carbon fiber color Steering Wheel Cover fit For ford Fusion Mondeo Edge at the best online prices at eBay! Free shipping for many products! fruitland baseball hotelsWebMay 11, 2024 · You can be sure to get the best possible photos in a relaxed, creative atmosphere. We specialize in beach portraits in beautiful Gulf Shores, Orange Beach, Perdido Key, and Fort Morgan. Our digital … fruitland baseball tournaments 2021WebJan 23, 2024 · 3. 1. Context. Let be a spherical fusion category over an algebraically closed field of characteristic zero. Denote by the category of finite-dimensional vector spaces. Currently, I am reading the paper Turaev-Viro invariants as an extended TQFT by Balsam and Kirillov. On page 2 it says: Define the functor by. for any collection of objects … gidget from secret life of petsWebDec 5, 2024 · Such data defines a Turaev-Viro/Levin-Wen model in 2+1D, while a 1+1D system with this fusion category acting as a global symmetry defines a boundary condition. This is akin to gauging a discrete global symmetry at the boundary of Dijkgraaf-Witten theory. We describe how to "ungauge" the fusion category symmetry in these boundary … gidget grows up 1969WebJun 1, 2024 · In this situation we say (A, π, β, ξ) is a fusion category over sVect _. In the language of [1], the quadruple (A, π, β, ξ) is an example of a monoidal Π-category. Definition 4.5. Let (L, π, ζ) be a Π-complete superfusion category. The underlying fusion category L _ of L is the fusion category with the same objects as L, but only the ... gidget grows up 1969 castWebPeter Lobner. In February 2024, I posted the article “The Fork in the Road to Electric Power From Fusion,” with links to a set of supporting articles that provide details on 18 fusion power reactor development projects, mostly at private firms. In March 2024, the United States Government Accountability Office issued their report GAO-23-105813, … fruitland bell scheduleWebMar 5, 2016 · In the construction of modular tensor categories (MTC) from ground zero, we put structures one by one: Finiteness conditions → Locally Finiteness and Finite Number of Isomorphism Class of Simple Objects. E n d ( 1) = k: The unit object is simple. Demanding the above we get a Ribbon Fusion Category. gidget from secret life of pets 2