Quantized enveloping algebras U α and their representations provide natural settings for the action of the corresponding braid groups. Objects of particular Ε½ . interest are the zero weight spaces of U α -modules since they are stable under the Ε½ . braid group action. We show that for α s α α there
β¦ LIBER β¦
Invariants of plane algebraic curves via representations of the braid groups
β Scribed by A. Libgober
- Publisher
- Springer-Verlag
- Year
- 1989
- Tongue
- English
- Weight
- 276 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
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The Jones polynomial was originally defined by constructing a Markov trace on the sequence of Temperley-Lieb algebras. In this paper we give a programme for constructing other link invariants by the same method. The data for the constructions is a representation of the three string braid group.