Representations of the Braid group B3 and of SL(2,Z)

Pacific Journal of Mathematics

Volumn 197, Issue 2, 2001, Pages 491-510

  Tuba, Imre ^a   Wenzl, Hans ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040431219     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2001.197.491     Document Type: Article

References (16)

1. J.S Birman, D.D. Long and J.A. Moody, Finite-dimensional representations of Artin's braid group, Contemp. Math., 169, Amer. Math. Soc., Providence, RI, (1994), 123-132.
2. H.S.M. Coxeter, Factor Groups of the Braid Group, Proceedings of the Fourth Can. Math. Congress, Banff 1957, University of Toronto Press, (1959), 95-122.
3. P. Deligne, La série exceptionnelle de groupes de Lie, C. R. Acad. Sci. Paris Sér. I Math., 322(4) (1996), 321-326.
4. P. Deligne and J. Milne, Tannakian Categories, Lecture Notes in Mathematics, 900, Springer Verlag.
5. V. Drinfeld, Quantum Groups, Proceedings for the ICM Berkeley, (1986), 798-820.
6. _, On almost cocommutative Hopf algebras, Leningrad Math. J., 1 (1990), 321-243.
7. A. Joyal and R. Street, The geometry of tensor calculus, Adv. Math., 88 (1991).
8. N. Katz, Rigid Local Systems, Annals of Mathematics Studies, 139, Princeton University Press.
9. D. Kazhdan and H. Wenzl, Reconstructing monoidal categories, Advances in Soviet Math., 16(2) (1993), 111-136.
10. A. Schofield, General representations of quivers. Proc. London Math. Soc. (3), 65(1) (1992), 46-64.
11. 2n, Thesis, University of Cambridge, 1997.
12. V.G. Turaev, Quantum Invariants of Knots and 3-Manifolds, de Gruyter (1994).
13. P. Vogel, Algebraic structures on modules of diagrams, preprint.
14. A. Wassermann, Operator algebras and conformal field theory III, Invent. Math., (1998).
15. H. Wenzl, Quantum groups and subfactors of type B, C and D, Comm. Math. Phys., 133 (1990), 383-432.
16. B. Westbury, On the character varieties of the modular group, preprint, University of Nottingham, 1995.