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The Burau representation of the braid group $B_n$ is unfaithful for large $n$
Author(s):
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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Additional information
References:
- 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:
10.1090/S0273-0979-1991-16080-5
PII:
S 0273-0979(1991)16080-5
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