Multifusion category
http://multifusions.com/ 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 …
Multifusion category
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Webof matter, multifusion 2-categories (first introduced in [2]) describe the fusion of 2-spacetime-dimensional ‘quasistring’ excitations, also known as surface operators. Except … Web5 dec. 2024 · A monoidal category is rigid if every object has a right and a left dual. A unitary multifusion category is a rigid semisimple \textrm {C}^* -tensor category with a finite number of simple objects. A unitary fusion category is a unitary multifusion category with simple monoidal unit.
Web1 aug. 2024 · We give a 3-universal property for the Karoubi envelope of a 2-category. Using this, we show that the 3-categories of finite semisimple 2-categories (as introduced in … WebIn 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 $\mathscr{C}$ be an indecomposable multifusion category and let $\mathscr{M}$ be an invertible $\mathscr{C}$-bimodule category. Then the center …
WebDistortion for multifactor bimodules and representations of multifusion categories Marcel Bischo , Ian Charlesworth, Samuel Evington, Luca Giorgetti, and David Penneys October 5, Web31 dec. 2024 · Abstract: 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 …
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WebIn 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 … championship family golfWebMultifactors 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. happy wife happy life tv5Web24 ian. 2024 · Given a multifusion 2-category, potentially with some additional levels of monoidality, we prove theorems about the structure of the 2-category obtained by … happy wife happy life saying for husbandWeb2 oct. 2024 · In this article, we extend these results to multifactor inclusions and unitary multifusion cat- egories. A unitary multifusion category is a semisimple rigid C∗tensor … happy wife happy life คอร์ดWebcategory Mult of (multi)fusion categories, bimodules categories, bimodule func-tors, and bimodule natural transformations with monoidal structure given by the Deligne tensor … happy wife happy life แปลว่าWebA C-linear 2-category Cis finite semisimple if it has finitely many isomorphism classes of simple objects, it is locally finite semisimple, it has adjoints for 1-morphisms, it has direct sums of objects and is 2-idempotent complete. DEFINITION 2.11. A multifusion 2-category is a monoidal finite semisimple 2-category in which all objects ... happy wife happy life t shirt mario barthWeb25 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 … happy wife happy life who said