FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100521573> ?p ?o ?g. }

• W3100521573 endingPage "539" @default.
• W3100521573 startingPage "523" @default.
• W3100521573 abstract "The Jones-Witten theory gives rise to representations of the (extended) mapping class group of any closed surface Y indexed by a semi-simple Lie group G and a level k. In the case G=SU(2) these representations (denoted V_A(Y)) have a particularly simple description in terms of the Kauffman skein modules with parameter A a primitive 4r-th root of unity (r=k+2). In each of these representations (as well as the general G case), Dehn twists act as transformations of finite order, so none represents the mapping class group M(Y) faithfully. However, taken together, the quantum SU(2) representations are faithful on non-central elements of M(Y). (Note that M(Y) has non-trivial center only if Y is a sphere with 0, 1, or 2 punctures, a torus with 0, 1, or 2 punctures, or the closed surface of genus = 2.) Specifically, for a non-central h in M(Y) there is an r_0(h) such that if r>= r_0(h) and A is a primitive 4r-th root of unity then h acts projectively nontrivially on V_A(Y). Jones' [J] original representation rho_n of the braid groups B_n, sometimes called the generic q-analog-SU(2)-representation, is not known to be faithful. However, we show that any braid h not= id in B_n admits a cabling c = c_1,...,c_n so that rho_N (c(h)) not= id, N=c_1 + ... + c_n." @default.
• W3100521573 created "2020-11-23" @default.
• W3100521573 creator A5051843797 @default.
• W3100521573 creator A5064155719 @default.
• W3100521573 creator A5089692099 @default.
• W3100521573 date "2002-11-23" @default.
• W3100521573 modified "2023-10-16" @default.
• W3100521573 title "Quantum<i>SU</i>(2) faithfully detects mapping class groups modulo center" @default.
• W3100521573 cites W1918109105 @default.
• W3100521573 cites W1973249989 @default.
• W3100521573 cites W2000313377 @default.
• W3100521573 cites W2007185418 @default.
• W3100521573 cites W2034878887 @default.
• W3100521573 cites W2054882419 @default.
• W3100521573 cites W2056954154 @default.
• W3100521573 cites W2074423677 @default.
• W3100521573 cites W2076368674 @default.
• W3100521573 cites W2085477292 @default.
• W3100521573 cites W2097145367 @default.
• W3100521573 cites W4239309077 @default.
• W3100521573 cites W4239903295 @default.
• W3100521573 doi "https://doi.org/10.2140/gt.2002.6.523" @default.
• W3100521573 hasPublicationYear "2002" @default.
• W3100521573 type Work @default.
• W3100521573 sameAs 3100521573 @default.
• W3100521573 citedByCount "21" @default.
• W3100521573 countsByYear W31005215732012 @default.
• W3100521573 countsByYear W31005215732013 @default.
• W3100521573 countsByYear W31005215732014 @default.
• W3100521573 countsByYear W31005215732015 @default.
• W3100521573 countsByYear W31005215732016 @default.
• W3100521573 countsByYear W31005215732018 @default.
• W3100521573 countsByYear W31005215732019 @default.
• W3100521573 countsByYear W31005215732021 @default.
• W3100521573 countsByYear W31005215732022 @default.
• W3100521573 crossrefType "journal-article" @default.
• W3100521573 hasAuthorship W3100521573A5051843797 @default.
• W3100521573 hasAuthorship W3100521573A5064155719 @default.
• W3100521573 hasAuthorship W3100521573A5089692099 @default.
• W3100521573 hasBestOaLocation W31005215731 @default.
• W3100521573 hasConcept C10138342 @default.
• W3100521573 hasConcept C111472728 @default.
• W3100521573 hasConcept C114614502 @default.
• W3100521573 hasConcept C121332964 @default.
• W3100521573 hasConcept C138885662 @default.
• W3100521573 hasConcept C154945302 @default.
• W3100521573 hasConcept C157369684 @default.
• W3100521573 hasConcept C162324750 @default.
• W3100521573 hasConcept C182306322 @default.
• W3100521573 hasConcept C185592680 @default.
• W3100521573 hasConcept C196278274 @default.
• W3100521573 hasConcept C206343339 @default.
• W3100521573 hasConcept C2524010 @default.
• W3100521573 hasConcept C2776799497 @default.
• W3100521573 hasConcept C2777212361 @default.
• W3100521573 hasConcept C2779463800 @default.
• W3100521573 hasConcept C2780586882 @default.
• W3100521573 hasConcept C2781311116 @default.
• W3100521573 hasConcept C33840335 @default.
• W3100521573 hasConcept C33923547 @default.
• W3100521573 hasConcept C41008148 @default.
• W3100521573 hasConcept C54732982 @default.
• W3100521573 hasConcept C59822182 @default.
• W3100521573 hasConcept C62520636 @default.
• W3100521573 hasConcept C8010536 @default.
• W3100521573 hasConcept C84114770 @default.
• W3100521573 hasConcept C86803240 @default.
• W3100521573 hasConceptScore W3100521573C10138342 @default.
• W3100521573 hasConceptScore W3100521573C111472728 @default.
• W3100521573 hasConceptScore W3100521573C114614502 @default.
• W3100521573 hasConceptScore W3100521573C121332964 @default.
• W3100521573 hasConceptScore W3100521573C138885662 @default.
• W3100521573 hasConceptScore W3100521573C154945302 @default.
• W3100521573 hasConceptScore W3100521573C157369684 @default.
• W3100521573 hasConceptScore W3100521573C162324750 @default.
• W3100521573 hasConceptScore W3100521573C182306322 @default.
• W3100521573 hasConceptScore W3100521573C185592680 @default.
• W3100521573 hasConceptScore W3100521573C196278274 @default.
• W3100521573 hasConceptScore W3100521573C206343339 @default.
• W3100521573 hasConceptScore W3100521573C2524010 @default.
• W3100521573 hasConceptScore W3100521573C2776799497 @default.
• W3100521573 hasConceptScore W3100521573C2777212361 @default.
• W3100521573 hasConceptScore W3100521573C2779463800 @default.
• W3100521573 hasConceptScore W3100521573C2780586882 @default.
• W3100521573 hasConceptScore W3100521573C2781311116 @default.
• W3100521573 hasConceptScore W3100521573C33840335 @default.
• W3100521573 hasConceptScore W3100521573C33923547 @default.
• W3100521573 hasConceptScore W3100521573C41008148 @default.
• W3100521573 hasConceptScore W3100521573C54732982 @default.
• W3100521573 hasConceptScore W3100521573C59822182 @default.
• W3100521573 hasConceptScore W3100521573C62520636 @default.
• W3100521573 hasConceptScore W3100521573C8010536 @default.
• W3100521573 hasConceptScore W3100521573C84114770 @default.
• W3100521573 hasConceptScore W3100521573C86803240 @default.
• W3100521573 hasIssue "2" @default.
• W3100521573 hasLocation W31005215731 @default.
• W3100521573 hasLocation W31005215732 @default.
• W3100521573 hasLocation W31005215733 @default.

• next