Last update: 2 June 2014
This is a typed copy of the LOMI preprint Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, I by N.Yu. Reshetikhin.
Recommended for publication by the Scientific Council of Steklov Mathematical Institute, Leningrad Department (LOMI) 6, June, 1987.
Introduction | |
1. | Solutions of the Yang-Baxter equation connected with the $q\text{-deformation}$ of the universal enveloping algebras of simple Lie algebras |
2. | Graphical representation of the $R\text{-matrices}$ |
3. | The $q\text{-analog}$ of Brauer-Weyl duality |
4. | $\U0001d524=\U0001d524\U0001d529\left(n\right)$ |
5. | $\U0001d524=\U0001d530\U0001d52c(2n+1)$ and $\U0001d524=\U0001d530\U0001d52c\left(2n\right)$ |
6. | $\U0001d524=\U0001d530\U0001d52d\left(2n\right)$ |
7. | $\U0001d524={G}_{2}$ |
8. | Solutions of the Yang-Baxter equation, representations of the braid group and invariants of links. |
9. | Invariants of links connected with $q\text{-deformations}$ of classical Lie algebras. |
10. | An invariant of links corresponding to the algebra ${G}_{2}$ |
11. | Conclusion |