Matches in SemOpenAlex for { <https://semopenalex.org/work/W3178593253> ?p ?o ?g. }
- W3178593253 abstract "Huang, Lepowsky and Zhang have developed a module theory for vertex operator algebras that endows suitably chosen module categories with the structure of braided monoidal categories. Included in the theory is a functor which assigns to discretely strongly graded modules a contragredient module, obtained as a gradewise dual. In this paper, we show that this gradewise dual endows the module category with the structure of a ribbon Grothendieck-Verdier category. This duality structure is more general than that of a rigid monoidal category; in contrast to rigidity, it naturally accommodates the fact that a vertex operator algebra and its gradewise dual need not be isomorphic as modules and that the tensor product of modules over vertex operator algebras need not be exact. We develop criteria which allow the detection of ribbon Grothendieck-Verdier equivalences and use them to explore ribbon Grothendieck-Verdier structures in the example of the rank $n$ Heisenberg vertex operator algebra or chiral free boson on a not necessarily full rank even lattice with arbitrary choice of conformal vector. We show that these categories are equivalent, as ribbon Grothendieck-Verdier categories, to certain categories of graded vector spaces and categories of modules over a certain Hopf algebra." @default.
- W3178593253 created "2021-07-19" @default.
- W3178593253 creator A5004247014 @default.
- W3178593253 creator A5006492575 @default.
- W3178593253 creator A5040825241 @default.
- W3178593253 creator A5076428287 @default.
- W3178593253 date "2021-07-12" @default.
- W3178593253 modified "2023-10-16" @default.
- W3178593253 title "Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson" @default.
- W3178593253 cites W1486434117 @default.
- W3178593253 cites W1486895725 @default.
- W3178593253 cites W1498940994 @default.
- W3178593253 cites W1500840815 @default.
- W3178593253 cites W1500962902 @default.
- W3178593253 cites W1551849151 @default.
- W3178593253 cites W1622768754 @default.
- W3178593253 cites W1651105737 @default.
- W3178593253 cites W1679450301 @default.
- W3178593253 cites W1711000021 @default.
- W3178593253 cites W1765487614 @default.
- W3178593253 cites W1802623620 @default.
- W3178593253 cites W1901929706 @default.
- W3178593253 cites W1957806614 @default.
- W3178593253 cites W1977656703 @default.
- W3178593253 cites W2000226383 @default.
- W3178593253 cites W2022595765 @default.
- W3178593253 cites W2032127054 @default.
- W3178593253 cites W2083251253 @default.
- W3178593253 cites W2085099584 @default.
- W3178593253 cites W2087192056 @default.
- W3178593253 cites W2109737042 @default.
- W3178593253 cites W2124783060 @default.
- W3178593253 cites W2142796305 @default.
- W3178593253 cites W2165527471 @default.
- W3178593253 cites W2165633370 @default.
- W3178593253 cites W2166597665 @default.
- W3178593253 cites W2519501411 @default.
- W3178593253 cites W2583960322 @default.
- W3178593253 cites W2616334666 @default.
- W3178593253 cites W2796446100 @default.
- W3178593253 cites W2907507283 @default.
- W3178593253 cites W2964060612 @default.
- W3178593253 cites W2964148796 @default.
- W3178593253 cites W2964290377 @default.
- W3178593253 cites W2999505134 @default.
- W3178593253 cites W3022136534 @default.
- W3178593253 cites W3094138965 @default.
- W3178593253 cites W3098152611 @default.
- W3178593253 cites W3101547344 @default.
- W3178593253 cites W3102695417 @default.
- W3178593253 cites W3105172838 @default.
- W3178593253 cites W3126075013 @default.
- W3178593253 cites W3145637049 @default.
- W3178593253 hasPublicationYear "2021" @default.
- W3178593253 type Work @default.
- W3178593253 sameAs 3178593253 @default.
- W3178593253 citedByCount "1" @default.
- W3178593253 countsByYear W31785932532021 @default.
- W3178593253 crossrefType "posted-content" @default.
- W3178593253 hasAuthorship W3178593253A5004247014 @default.
- W3178593253 hasAuthorship W3178593253A5006492575 @default.
- W3178593253 hasAuthorship W3178593253A5040825241 @default.
- W3178593253 hasAuthorship W3178593253A5076428287 @default.
- W3178593253 hasConcept C100376341 @default.
- W3178593253 hasConcept C104317684 @default.
- W3178593253 hasConcept C105313907 @default.
- W3178593253 hasConcept C118615104 @default.
- W3178593253 hasConcept C132525143 @default.
- W3178593253 hasConcept C136119220 @default.
- W3178593253 hasConcept C14394260 @default.
- W3178593253 hasConcept C156772000 @default.
- W3178593253 hasConcept C158448853 @default.
- W3178593253 hasConcept C17020691 @default.
- W3178593253 hasConcept C179724543 @default.
- W3178593253 hasConcept C182419690 @default.
- W3178593253 hasConcept C185592680 @default.
- W3178593253 hasConcept C191413488 @default.
- W3178593253 hasConcept C202444582 @default.
- W3178593253 hasConcept C2778023678 @default.
- W3178593253 hasConcept C33923547 @default.
- W3178593253 hasConcept C51255310 @default.
- W3178593253 hasConcept C55493867 @default.
- W3178593253 hasConcept C80899671 @default.
- W3178593253 hasConcept C86339819 @default.
- W3178593253 hasConceptScore W3178593253C100376341 @default.
- W3178593253 hasConceptScore W3178593253C104317684 @default.
- W3178593253 hasConceptScore W3178593253C105313907 @default.
- W3178593253 hasConceptScore W3178593253C118615104 @default.
- W3178593253 hasConceptScore W3178593253C132525143 @default.
- W3178593253 hasConceptScore W3178593253C136119220 @default.
- W3178593253 hasConceptScore W3178593253C14394260 @default.
- W3178593253 hasConceptScore W3178593253C156772000 @default.
- W3178593253 hasConceptScore W3178593253C158448853 @default.
- W3178593253 hasConceptScore W3178593253C17020691 @default.
- W3178593253 hasConceptScore W3178593253C179724543 @default.
- W3178593253 hasConceptScore W3178593253C182419690 @default.
- W3178593253 hasConceptScore W3178593253C185592680 @default.
- W3178593253 hasConceptScore W3178593253C191413488 @default.
- W3178593253 hasConceptScore W3178593253C202444582 @default.
- W3178593253 hasConceptScore W3178593253C2778023678 @default.