Matches in SemOpenAlex for { <https://semopenalex.org/work/W2991120307> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2991120307 endingPage "1090" @default.
- W2991120307 startingPage "1055" @default.
- W2991120307 abstract "We consider a pivotal monoidal functor whose domain is a modular tensor category (MTC). We show that the trace of such a functor naturally extends to a representation of the corresponding tube category. As irreducible representations of the tube category are indexed by pairs of simple objects in the underlying MTC, the simple multiplicities of this representation form a candidate modular invariant matrix. In general, this matrix will not be modular invariant, however it will always commute with the T-matrix. Furthermore, under certain additional conditions on the original functor, it is shown that the corresponding representation of the tube category is a haploid, symmetric, commutative Frobenius algebra. Such algebras are known to be connected to modular invariants, in particular a result of Kong and Runkel implies that the matrix of simple multiplicities commutes with the S-matrix if and only if the dimension of the algebra is equal to the dimension of the underlying MTC. Finally, we apply these techniques to certain pivotal monoidal functors arising from module categories over the Temperley-Lieb category and the associated MTC. This provides a novel explanation of the A-D-E pattern appearing in the classification of $ A_1^{(1)} $ modular invariants." @default.
- W2991120307 created "2019-12-05" @default.
- W2991120307 creator A5088043979 @default.
- W2991120307 date "2021-01-25" @default.
- W2991120307 modified "2023-10-11" @default.
- W2991120307 title "Extending the Trace of a Pivotal Monoidal Functor" @default.
- W2991120307 cites W147547193 @default.
- W2991120307 cites W1985508159 @default.
- W2991120307 cites W2008449309 @default.
- W2991120307 cites W2024577606 @default.
- W2991120307 cites W2028872777 @default.
- W2991120307 cites W2030876706 @default.
- W2991120307 cites W2065247876 @default.
- W2991120307 cites W2065367405 @default.
- W2991120307 cites W2073549373 @default.
- W2991120307 cites W2082517833 @default.
- W2991120307 cites W2099773315 @default.
- W2991120307 cites W2103209558 @default.
- W2991120307 cites W2498965464 @default.
- W2991120307 cites W2949944564 @default.
- W2991120307 cites W2963037603 @default.
- W2991120307 cites W2963678126 @default.
- W2991120307 cites W3105387962 @default.
- W2991120307 cites W3105398654 @default.
- W2991120307 cites W3135431732 @default.
- W2991120307 cites W3180229875 @default.
- W2991120307 cites W4238114872 @default.
- W2991120307 cites W4244287413 @default.
- W2991120307 cites W4247056022 @default.
- W2991120307 cites W3100275146 @default.
- W2991120307 doi "https://doi.org/10.1007/s00220-020-03909-8" @default.
- W2991120307 hasPublicationYear "2021" @default.
- W2991120307 type Work @default.
- W2991120307 sameAs 2991120307 @default.
- W2991120307 citedByCount "0" @default.
- W2991120307 crossrefType "journal-article" @default.
- W2991120307 hasAuthorship W2991120307A5088043979 @default.
- W2991120307 hasBestOaLocation W29911203074 @default.
- W2991120307 hasConcept C111472728 @default.
- W2991120307 hasConcept C136119220 @default.
- W2991120307 hasConcept C138885662 @default.
- W2991120307 hasConcept C155996607 @default.
- W2991120307 hasConcept C156772000 @default.
- W2991120307 hasConcept C190470478 @default.
- W2991120307 hasConcept C202444582 @default.
- W2991120307 hasConcept C2780586882 @default.
- W2991120307 hasConcept C33923547 @default.
- W2991120307 hasConcept C37914503 @default.
- W2991120307 hasConcept C41895202 @default.
- W2991120307 hasConcept C51255310 @default.
- W2991120307 hasConcept C75291252 @default.
- W2991120307 hasConceptScore W2991120307C111472728 @default.
- W2991120307 hasConceptScore W2991120307C136119220 @default.
- W2991120307 hasConceptScore W2991120307C138885662 @default.
- W2991120307 hasConceptScore W2991120307C155996607 @default.
- W2991120307 hasConceptScore W2991120307C156772000 @default.
- W2991120307 hasConceptScore W2991120307C190470478 @default.
- W2991120307 hasConceptScore W2991120307C202444582 @default.
- W2991120307 hasConceptScore W2991120307C2780586882 @default.
- W2991120307 hasConceptScore W2991120307C33923547 @default.
- W2991120307 hasConceptScore W2991120307C37914503 @default.
- W2991120307 hasConceptScore W2991120307C41895202 @default.
- W2991120307 hasConceptScore W2991120307C51255310 @default.
- W2991120307 hasConceptScore W2991120307C75291252 @default.
- W2991120307 hasFunder F4320334627 @default.
- W2991120307 hasIssue "3" @default.
- W2991120307 hasLocation W29911203071 @default.
- W2991120307 hasLocation W29911203072 @default.
- W2991120307 hasLocation W29911203073 @default.
- W2991120307 hasLocation W29911203074 @default.
- W2991120307 hasLocation W29911203075 @default.
- W2991120307 hasOpenAccess W2991120307 @default.
- W2991120307 hasPrimaryLocation W29911203071 @default.
- W2991120307 hasRelatedWork W133815982 @default.
- W2991120307 hasRelatedWork W1588904821 @default.
- W2991120307 hasRelatedWork W2303895826 @default.
- W2991120307 hasRelatedWork W2377942930 @default.
- W2991120307 hasRelatedWork W2963289085 @default.
- W2991120307 hasRelatedWork W3006716590 @default.
- W2991120307 hasRelatedWork W4298882581 @default.
- W2991120307 hasRelatedWork W4306904858 @default.
- W2991120307 hasRelatedWork W4378499241 @default.
- W2991120307 hasRelatedWork W823736114 @default.
- W2991120307 hasVolume "381" @default.
- W2991120307 isParatext "false" @default.
- W2991120307 isRetracted "false" @default.
- W2991120307 magId "2991120307" @default.
- W2991120307 workType "article" @default.