Multifusion category
Web16 apr. 2024 · Recall that a multifusion (1-)category is a \(\mathbb {C}\)-linear, additive, and Karoubi-complete monoidal 1-category which is semisimple with finitely many … Web4 mar. 2024 · Multi-fusion categories are a generalization of fusion categories with a non-simple unit. The direct sum of two multi-fusion categories is again a multi-fusion category. By irreducible I mean that a multi-fusion category cannot be written as a non-trivial direct sum. Are all such irreducible multi-fusion categories fusion categories?
Multifusion category
Did you know?
Web25 nov. 2014 · The 3-categories of semisimple 2-categories and of multifusion categories are shown to be equivalent. A weakening of the notion of fusion 2-category is introduced. Multifusion 2-categories are… Expand Highly Influenced View 3 excerpts, cites results and background Save Alert The categorified Grothendieck–Riemann–Roch … Web4 mar. 2024 · Multi-fusion categories are a generalization of fusion categories with a non-simple unit. The direct sum of two multi-fusion categories is again a multi-fusion …
Web5 sept. 2024 · Given a multifusion category A, its Drinfeld centre Z (A) is the category of pairs ( X ,γ) , where X ∈ A and γ : X ⊗− ⇒ −⊗ X is a half-braiding, i.e. a natural isomorphism satisfying ... Webof matter, multifusion 2-categories (first introduced in [2]) describe the fusion of 2-spacetime-dimensional ‘quasistring’ excitations, also known as surface operators. Except …
WebYou need to upgrade your Flash Player and/or enable JavaScript. Bitte installieren Sie einen aktuellen Flashplayer und/oder aktivieren Sie JavaScript. Web18 aug. 2024 · We use this result to construct the Morita 3-category of separablealgebras in a fusion 2-category. Then, we explain how module 2-categories forma 3-category, and …
Web1 aug. 2024 · We show that the canonical 3-functor sending a multifusion categories to its 2-category of finite semisimple module categories induces an equivalence Mult ≃ …
WebDistortion for multifactor bimodules and representations of multifusion categories Marcel Bischo , Ian Charlesworth, Samuel Evington, Luca Giorgetti, and David Penneys October 5, timer tool youtubeWebIn this paper we study a toy categorical version of Lusztig’s induction and restriction functors for character sheaves, but in the abstract setting of multifusion categories. Let C be an indecomposable multifusion category and let M be an invertible C-bimodule category. Then the center ZC(M) of M with respect to C is an invertible module category over the … timer tool transformiceWebcategory Mult of (multi)fusion categories, bimodules categories, bimodule func-tors, and bimodule natural transformations with monoidal structure given by the Deligne tensor … timer toothbrush for kidsWeb19 oct. 2002 · Construction 1.2.13 (The folded multifusion category of a finite presemisimple 2-category). ... Fusion 2-categories and a state-sum invariant for 4-manifolds Preprint Dec 2024 Christopher L.... timer toothbrushWeb1 aug. 2024 · Multifusion categories and finite semisimple 2-categories. Journal of Pure and Applied Algebra, Volume 226, Issue 8, 2024, Article 107029. Show abstract. ... Such categories contain distinguished subcategories of insertions (which are monomorphisms) and surjections (in general different to the epimorphisms) such that each morphism … timer topiaWeb5 apr. 2024 · Deliverables, publications, datasets, software, exploitable results timer to put computer in sleep modeWebMultifactors and multifusion categories In the study of unitary fusion categories, we must naturally consider unitary multifusion categories, which may no longer have simple unit. IWe would like to de ne a unitary fusion category as any collection of R n R n bimodules closed under ; ; ; with only nitely many isomorphism classes of simple bimodules. timer to power off