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Volumn 10, Issue 5, 2001, Pages 763-767

Irreducibility of some quantum representations of mapping class groups

(1)  Roberts, Justin a  

a NONE

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EID: 0035646572     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021821650100113X     Document Type: Article
Times cited : (34)

References (16)
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  • 4
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    • On the TQFT representations of the mapping class groups
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    • Funar, L.1
  • 6
    • 22644448587 scopus 로고    scopus 로고
    • On the Witten-Reshetikhin-Turaev representations of the mapping class groups
    • P. M. Gilmer. On the Witten-Reshetikhin-Turaev representations of the mapping class groups, Proc. Amer. Math. Soc. 127 (1999), 2483-2488.
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 2483-2488
    • Gilmer, P.M.1
  • 7
    • 0003209688 scopus 로고
    • Temperley-Lieb recoupling theory and invariants of 3-manifolds
    • Princeton University Press
    • L. H. Kauffman and S. L. Lins. Temperley-Lieb recoupling theory and invariants of 3-manifolds, Ann. Math. Study 134, Princeton University Press (1994).
    • (1994) Ann. Math. Study , vol.134
    • Kauffman, L.H.1    Lins, S.L.2
  • 8
    • 0000484189 scopus 로고
    • The skein method for 3-manifold invariants
    • W. B. R. Lickorish. The skein method for 3-manifold invariants, J. Knot Th. Ram. 2 (1993), 171-194.
    • (1993) J. Knot Th. Ram. , vol.2 , pp. 171-194
    • Lickorish, W.B.R.1
  • 9
    • 0345990907 scopus 로고    scopus 로고
    • An element of infinite order in TQFT representations of mapping class groups
    • (ed. H. Nencka), AMS
    • G. Masbaum. An element of infinite order in TQFT representations of mapping class groups, in Contemp. Math. 233 (ed. H. Nencka), AMS (1999).
    • (1999) Contemp. Math. , vol.233
    • Masbaum, G.1
  • 10
    • 21744442035 scopus 로고    scopus 로고
    • A simple proof of integrality of quantum invariants at prime roots of unity
    • G. Masbaum, J. D. Roberts. A simple proof of integrality of quantum invariants at prime roots of unity, Math. Proc. Cam. Phil. Soc. 121 (1997), 443-454.
    • (1997) Math. Proc. Cam. Phil. Soc. , vol.121 , pp. 443-454
    • Masbaum, G.1    Roberts, J.D.2
  • 11
    • 0032217876 scopus 로고    scopus 로고
    • Integral modular categories and integrality of quantum invariants at roots of unity of prime order
    • G. Masbaum, H. Wenzl. Integral modular categories and integrality of quantum invariants at roots of unity of prime order, J. Reine Angew. Math. 505 (1998), 209-235.
    • (1998) J. Reine Angew. Math. , vol.505 , pp. 209-235
    • Masbaum, G.1    Wenzl, H.2
  • 12
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • N. Y. Reshetikhin and V. G. Turaev. Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547-597.
    • (1991) Invent. Math. , vol.103 , pp. 547-597
    • Reshetikhin, N.Y.1    Turaev, V.G.2
  • 13
    • 84974223870 scopus 로고
    • Skeins and mapping class groups
    • J. D. Roberts. Skeins and mapping class groups, Math. Proc. Cam. Phil. Soc. 115 (1994), 53-77.
    • (1994) Math. Proc. Cam. Phil. Soc. , vol.115 , pp. 53-77
    • Roberts, J.D.1
  • 14
    • 0000155804 scopus 로고
    • Skein theory and Turaev-Viro invariants
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    • (1995) Topology , vol.34 , pp. 771-787


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