Spherical categories
WebFeb 15, 2024 · The last result of this section, Theorem 4.13, pertains to spherical fusion categories. Sphericality is a very weak assumption as all known examples of fusion categories possess a spherical structure. We prove that if C is a spherical fusion category with a formal codegree f of square-free norm, then f ∈ Z or f = (1 / 2) (5 ± 5). WebJun 23, 2024 · Spherical objects in Derived categories. Let D b ( X) is the derived category of coherent sheaves on the smooth projective variety X and an object E ∈ D b ( X) is …
Spherical categories
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Webthe category of vector spaces, based on spherical categories. The category Algis proposed by Habiro to be isomorphic to the cobor-dism category of once-punctured surfaces. If the … WebApr 1, 2024 · The first is based on modular categories see [33,36,6] and the second is based on spherical categories see [37,8]; these constructions are related in [38]. Later the first approach has been...
Webcategory Cone may construct thede-equivariantization C G of Fun(G)-modules, where Fun(G) 2Rep(G) is the regular algebra and G is a nite group. IC G is G-graded. IdimC G = dim(C)=jGj IIf Cis braided and DˆC0then C G is braided. Lemma Let Cbe a pre-modular category, and Rep(G) ˘=TˆC0be the maximal, Tannakian, central subcategory.Then C G is either WebA spherical category is defined to be a pivotal category which satisfies an extra condition, which states that two trace maps are equal. The universal strict pivotal category has an …
WebIn category theory, a branch of mathematics, a spherical category is a pivotal category in which left and right traces coincide. Wikiwand is the world's leading Wikipedia reader for … WebFind many great new & used options and get the best deals for Lucite Globe: Spherical Concepts, Inc. Frazer, PA USA MCMXCI (1991) at the best online prices at eBay! Free …
WebIn category theory, a branch of mathematics, a spherical category is a pivotal category (a monoidal category with traces) in which left and right traces coincide. Spherical fusion …
Webthe category of vector spaces, based on spherical categories. The category Algis proposed by Habiro to be isomorphic to the cobor-dism category of once-punctured surfaces. If the proposal is proved valid, the result of this paper would imply a construction of a TQFT functor based on a spherical category. 1. Introduction make sour cream from mayonnaiseWebNov 5, 2024 · In a spherical fusion category C, an equivariant indicator of an object in C is defined as a functional on the Grothendieck algebra of the quantum double Z(C) via generalized Frobenius-Schur ... makes out distinguishes crosswordWebFeb 3, 2024 · The 2-category of monoidal categories 7. Properties 8. Coherence 9. Closure 10. Relation to multicategories 11. Internal logic 12. Scalars 13. Where the definition comes from 14. Relation to lax functors, orientals and descent 15. Remark: pseudo versus lax, orientals versus unorientals 16. Variants 17. Related concepts 18. References Idea 0.1 make sourdough starter for breadWebOct 25, 1993 · Spherical Categories. This paper is a study of monoidal categories with duals where the tensor product need not be commutative. The motivating examples are categories of representations of Hopf algebras and the motivating application is the … SPHERICAL CATEGORIES John W. Barrett & Bruce W. Westbury 10 August 1993; … Hep-Th 9310164V2 - [hep-th/9310164] Spherical Categories - arXiv.org make sour cream from whipping creamWebJan 16, 2024 · Based on the shape of the bacterial cell, bacteria can be mainly classified into four major categories, namely: Spherical bacteria or Coccus Rod-shaped bacteria or Bacillus Spiral bacteria Filamentous bacteria. Apart from these four main categories, there are other odd-shaped bacteria such as the following shapes, namely: makes out a sufficient case meaningWebAug 22, 2024 · We compute the fusion rule of a one-parameter family of spherical categories constructed by one author from the classification of singly generated … make sous vide cookerWebNov 2, 2010 · Orthogonally spherical objects and spherical fibrations. Rina Anno, Timothy Logvinenko. We introduce a relative version of the spherical objects of Seidel and Thomas. Define an object E in the derived category D (Z x X) to be spherical over Z if the corresponding functor from D (Z) to D (X) gives rise to autoequivalences of D (Z) and D … make sourdough bread without a dutch oven