Weight conservation and quantum group construction of the braid group representation
- 7 July 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (13) , L645-L648
- https://doi.org/10.1088/0305-4470/23/13/002
Abstract
It is proved that the braid group representation constructed in terms of the quantum group can be covered by that obtained from the proposal of weight conservation by the extended Kauffman diagram technique. The non-standard braid group representations associated with SU(2) are obtained by adding the terms of weight conservation to the standard universal R-matrix.Keywords
This publication has 9 references indexed in Scilit:
- The braid group representations associated with some non-fundamental representations of Lie algebrasJournal of Physics A: General Physics, 1990
- Extended state model and group approach to new polynomialsJournal of Physics A: General Physics, 1990
- Boson Realization of Representations for Quantum Groups and Its Differential Correspondence in Bargmann SpaceCommunications in Theoretical Physics, 1990
- The q-deformed boson realisation of the quantum group SU(n)qand its representationsJournal of Physics A: General Physics, 1989
- AKUTZU-WADATI LINK POLYNOMIALS FROM FEYNMAN-KAUFFMAN DIAGRAMSInternational Journal of Modern Physics A, 1989
- An analogue of P.B.W. theorem and the universalR-matrix forU h sl(N+1)Communications in Mathematical Physics, 1989
- Knots, links, braids and exactly solvable models in statistical mechanicsCommunications in Mathematical Physics, 1988
- QuantumR matrix for the generalized Toda systemCommunications in Mathematical Physics, 1986
- Aq-difference analogue of U(g) and the Yang-Baxter equationLetters in Mathematical Physics, 1985