Quotients of the braid group algebras
โ Scribed by Bruce W. Westbury
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 592 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0166-8641
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
Let K be a compact Lie group and X a real algebraic (or real analytic) K-variety. We find conditions under which the quotient X/K is again algebraic (real analytic), and we compare properties of X and X/K, including coherence and smoothness. For example, if L is a closed subgroup of K and A is a rea
Quantized enveloping algebras U แ and their representations provide natural settings for the action of the corresponding braid groups. Objects of particular ลฝ . interest are the zero weight spaces of U แ -modules since they are stable under the ลฝ . braid group action. We show that for แ s แ แ there