Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-28T13:31:52.400Z Has data issue: false hasContentIssue false
  • English
  • Français

Irreducible decomposition of the Magnus representation of the Torelli group

Published online by Cambridge University Press:  17 April 2009

Masaaki Suzuki
Masaaki Suzuki
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan, e-mail: macky@ms.u-tokyo.ac.jp
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper we describe the irreducible decomposition of the Magnus representation of the Torelli group.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 67 , Issue 1 , February 2003 , pp. 1 - 14
Copyright
Copyright © Australian Mathematical Society 2003

References

REFERENCES

[1]Abdulrahim, M., ‘Complex specialization of the reduced Gassner representation of the pure braid group’, Proc. Amer. Math. Soc. 125 (1997), 1617–1624.Google Scholar
[2]Birman, J., Braids, links and mapping class groups, Annals of Math. Studies No. 82 (Princeton University Press, Princeton N.J., 1975).Google Scholar
[3]Dornhoff, L., Group representation theory Part A (Marcel Dekke Inc., New York, 1971).Google Scholar
[4]Formanek, E., ‘Braid group representations of low degree’, Proc. London Math. Soc. 73 (1996), 279–322.CrossRefGoogle Scholar
[5]Johnson, D., ‘A survey of the Torelli group’, Contemporary Math. 20 (1983), 165–179.CrossRefGoogle Scholar
[6]Morita, S., ‘Abelian quotients of subgroups of the mapping class group of surfaces’, Duke Math. J. 70 (1993), 699–726.Google Scholar
[7]Morita, S., ‘Structure of the mapping class groups of surfaces: a survey and a prospect’,in Proceedings of the Kirbyfest(1999), Geom. Topol. Monogr. Vol. 2 (Geom. Topol. Publ., Coventyr), PP. 349–406.Google Scholar
[8]Suzuki, M., ‘The Magnus representation of the Torelli group ℐg, 1 is not faithful for g ≥ 2’, Proc. Amer. Math. Soc. 130 (2002), 909–914.CrossRefGoogle Scholar