G T ] 4 A pr 2 00 2 The Lawrence-Krammer representation

@inproceedings{Bigelow2002GT,
  title={G T ] 4 A pr 2 00 2 The Lawrence-Krammer representation},
  author={Stephen J. Bigelow},
  year={2002}
}
The Lawrence-Krammer representation of the braid groups recently came to prominence when it was shown to be faithful by myself and Krammer. It is an action of the braid group on a certain homology module H2(C̃) over the ring of Laurent polynomials in q and t . In this paper we describe some surfaces in C̃ representing elements of homology. We use these to give a new proof that H2(C̃) is a free module. We also show that the (n− 2, 2) representation of the Temperley-Lieb algebra is the image of a… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
0 Extracted Citations
7 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-7 of 7 references

The representation theory of the Temperley-Lieb

  • B. W. Westbury
  • algebras, Math. Z
  • 1995

A survey of knot theory, Birkhäuser Verlag, Basel, 1996, Translated and revised from the 1990 Japanese original by the author. MR 97k:57011

  • Akio Kawauchi
  • 1990

Similar Papers

Loading similar papers…