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The Burau representation of the braid group $B_n$ is unfaithful for large $n$
Author:
John Atwell Moody
Journal:
Bull. Amer. Math. Soc. 25 (1991), 379-384
MSC (1985):
Primary 57M25; Secondary 57N05
MathSciNet review:
1098347
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References |
Similar Articles |
Additional Information
- 1.
J. W. Alexander, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. USA 9 (1923), 93-95.
- 2.
J.
W. Alexander, Topological invariants of knots and
links, Trans. Amer. Math. Soc.
30 (1928), no. 2,
275–306. MR
1501429, http://dx.doi.org/10.1090/S0002-9947-1928-1501429-1
- 3.
Wilhelm
Magnus, Collected papers, Springer-Verlag, New York, 1984.
Edited and with introductory material by Gilbert Baumslag and Bruce
Chandler. MR
725504 (85m:01107)
- 4.
Joan
S. Birman, Braids, links, and mapping class groups, Princeton
University Press, Princeton, N.J., 1974. Annals of Mathematics Studies, No.
82. MR
0375281 (51 #11477)
- 5.
V.
F. R. Jones, Hecke algebra representations of braid groups and link
polynomials, Ann. of Math. (2) 126 (1987),
no. 2, 335–388. MR 908150
(89c:46092), http://dx.doi.org/10.2307/1971403
- 6.
D.
D. Long, On the linear representation of braid
groups, Trans. Amer. Math. Soc.
311 (1989), no. 2,
535–560. MR
943606 (89h:20054), http://dx.doi.org/10.1090/S0002-9947-1989-0943606-3
- 7.
Edward
Witten, Quantum field theory and the Jones polynomial, Braid
group, knot theory and statistical mechanics, Adv. Ser. Math. Phys.,
vol. 9, World Sci. Publ., Teaneck, NJ, 1989, pp. 239–329.
MR
1062429, http://dx.doi.org/10.1142/9789812798350_0009
- 8.
Toshitake
Kohno, Linear representations of braid groups and classical
Yang-Baxter equations, Braids (Santa Cruz, CA, 1986) Contemp. Math.,
vol. 78, Amer. Math. Soc., Providence, RI, 1988,
pp. 339–363. MR 975088
(90h:20056), http://dx.doi.org/10.1090/conm/078/975088
- 9.
D.
D. Long, A note on the normal subgroups of mapping class
groups, Math. Proc. Cambridge Philos. Soc. 99 (1986),
no. 1, 79–87. MR 809501
(87c:57009), http://dx.doi.org/10.1017/S0305004100063957
- 1.
- J. W. Alexander, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. USA 9 (1923), 93-95.
- 2.
- J. W. Alexander, Topological invariants of knots, Trans. Amer. Math. Soc. 30 (1928), 275-301. MR 1501429
- 3.
- W. Magnus, Collected works (G. Baumslag and B. Chandler, eds.), Springer-Verlag, Berlin and New York, 1984. MR 725504
- 4.
- J. Birman, Braids, links and mapping class groups, Ann. of Math. Stud., vol. 82, Princeton Univ. Press, Princeton, NJ, 1974. MR 375281
- 5.
- V. Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math. (2) 126 (1987), 335-338. MR 908150
- 6.
- D. D. Long, On the linear representation of braid groups, Trans. Amer. Math. Soc. 311 (1989), 532-559. MR 943606
- 7.
- E. Witten, Quantum field theory and the Jones polynomial, IAMP Congress, Swansea, July 1988. MR 1062429
- 8.
- T. Kohno, Linear representations of braid groups and classical Yang-Baxter equations, Contemp. Math., vol. 78, Amer. Math. Soc. Providence, RI, 1988, pp. 339-363. MR 975088
- 9.
- D. Long, A note on normal subgroups of mapping class groups, Proc. Cambridge Philos. Soc. 99 (1986), 79-87. MR 809501
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1991-16080-5
PII:
S 0273-0979(1991)16080-5
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